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Finding the Fourth Proportional to 3,607.98, 5,411.14 and 1,658.31

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Solution

The fourth proportional to 3,607.98, 5,411.14 and 1,658.31 is: 2,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.98 : 5,411.14 = 1,658.31 : x
  2. Step 2: Convert to fraction form
    3,607.98/5,411.14 = 1,658.31/x
  3. Step 3: Cross multiply
    3,607.98x = 5,411.14 × 1,658.31
  4. Step 4: Simplify right side
    3,607.98x = 8,973,347.57
  5. Step 5: Solve for x
    x = 8,973,347.57/3,607.98
  6. Step 6: Final answer
    x = 2,487.08

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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.