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Finding the Fourth Proportional to 4,873.65, 7,311.15 and 1,540.74

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Solution

The fourth proportional to 4,873.65, 7,311.15 and 1,540.74 is: 2,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.65 : 7,311.15 = 1,540.74 : x
  2. Step 2: Convert to fraction form
    4,873.65/7,311.15 = 1,540.74/x
  3. Step 3: Cross multiply
    4,873.65x = 7,311.15 × 1,540.74
  4. Step 4: Simplify right side
    4,873.65x = 11,264,581.25
  5. Step 5: Solve for x
    x = 11,264,581.25/4,873.65
  6. Step 6: Final answer
    x = 2,311.32

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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.