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Finding the Fourth Proportional to 5,047.70, 7,566.21 and 1,925.69

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Solution

The fourth proportional to 5,047.70, 7,566.21 and 1,925.69 is: 2,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.70 : 7,566.21 = 1,925.69 : x
  2. Step 2: Convert to fraction form
    5,047.70/7,566.21 = 1,925.69/x
  3. Step 3: Cross multiply
    5,047.70x = 7,566.21 × 1,925.69
  4. Step 4: Simplify right side
    5,047.70x = 14,570,137.10
  5. Step 5: Solve for x
    x = 14,570,137.10/5,047.70
  6. Step 6: Final answer
    x = 2,886.49

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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.