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Finding the Fourth Proportional to 5,402.49, 8,089.71 and 4,627.46

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Solution

The fourth proportional to 5,402.49, 8,089.71 and 4,627.46 is: 6,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.49 : 8,089.71 = 4,627.46 : x
  2. Step 2: Convert to fraction form
    5,402.49/8,089.71 = 4,627.46/x
  3. Step 3: Cross multiply
    5,402.49x = 8,089.71 × 4,627.46
  4. Step 4: Simplify right side
    5,402.49x = 37,434,809.44
  5. Step 5: Solve for x
    x = 37,434,809.44/5,402.49
  6. Step 6: Final answer
    x = 6,929.18

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