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Finding the Fourth Proportional to 3,502.48, 5,254.83 and 1,037.31

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Solution

The fourth proportional to 3,502.48, 5,254.83 and 1,037.31 is: 1,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.48 : 5,254.83 = 1,037.31 : x
  2. Step 2: Convert to fraction form
    3,502.48/5,254.83 = 1,037.31/x
  3. Step 3: Cross multiply
    3,502.48x = 5,254.83 × 1,037.31
  4. Step 4: Simplify right side
    3,502.48x = 5,450,887.71
  5. Step 5: Solve for x
    x = 5,450,887.71/3,502.48
  6. Step 6: Final answer
    x = 1,556.29

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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.