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Finding the Fourth Proportional to 5,176,626.72, 7,764,959.16 and 1,582,379.72

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Solution

The fourth proportional to 5,176,626.72, 7,764,959.16 and 1,582,379.72 is: 2,373,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176,626.72 : 7,764,959.16 = 1,582,379.72 : x
  2. Step 2: Convert to fraction form
    5,176,626.72/7,764,959.16 = 1,582,379.72/x
  3. Step 3: Cross multiply
    5,176,626.72x = 7,764,959.16 × 1,582,379.72
  4. Step 4: Simplify right side
    5,176,626.72x = 12,287,113,901,412.23
  5. Step 5: Solve for x
    x = 12,287,113,901,412.23/5,176,626.72
  6. Step 6: Final answer
    x = 2,373,575.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.