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Finding the Fourth Proportional to 5,252.04, 7,871.68 and 2,475.46

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Solution

The fourth proportional to 5,252.04, 7,871.68 and 2,475.46 is: 3,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.04 : 7,871.68 = 2,475.46 : x
  2. Step 2: Convert to fraction form
    5,252.04/7,871.68 = 2,475.46/x
  3. Step 3: Cross multiply
    5,252.04x = 7,871.68 × 2,475.46
  4. Step 4: Simplify right side
    5,252.04x = 19,486,041.91
  5. Step 5: Solve for x
    x = 19,486,041.91/5,252.04
  6. Step 6: Final answer
    x = 3,710.19

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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.