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Finding the Fourth Proportional to 3,504.47, 5,256.75 and 1,502.90

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Solution

The fourth proportional to 3,504.47, 5,256.75 and 1,502.90 is: 2,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.47 : 5,256.75 = 1,502.90 : x
  2. Step 2: Convert to fraction form
    3,504.47/5,256.75 = 1,502.90/x
  3. Step 3: Cross multiply
    3,504.47x = 5,256.75 × 1,502.90
  4. Step 4: Simplify right side
    3,504.47x = 7,900,343.29
  5. Step 5: Solve for x
    x = 7,900,343.29/3,504.47
  6. Step 6: Final answer
    x = 2,254.37

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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.