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Finding the Fourth Proportional to 3,502.87, 5,254.31 and 2,024.35

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Solution

The fourth proportional to 3,502.87, 5,254.31 and 2,024.35 is: 3,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.87 : 5,254.31 = 2,024.35 : x
  2. Step 2: Convert to fraction form
    3,502.87/5,254.31 = 2,024.35/x
  3. Step 3: Cross multiply
    3,502.87x = 5,254.31 × 2,024.35
  4. Step 4: Simplify right side
    3,502.87x = 10,636,554.37
  5. Step 5: Solve for x
    x = 10,636,554.37/3,502.87
  6. Step 6: Final answer
    x = 3,036.53

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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.