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Finding the Fourth Proportional to 3,712.16, 5,563.92 and 1,658.72

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Solution

The fourth proportional to 3,712.16, 5,563.92 and 1,658.72 is: 2,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.16 : 5,563.92 = 1,658.72 : x
  2. Step 2: Convert to fraction form
    3,712.16/5,563.92 = 1,658.72/x
  3. Step 3: Cross multiply
    3,712.16x = 5,563.92 × 1,658.72
  4. Step 4: Simplify right side
    3,712.16x = 9,228,985.38
  5. Step 5: Solve for x
    x = 9,228,985.38/3,712.16
  6. Step 6: Final answer
    x = 2,486.15

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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.