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Finding the Fourth Proportional to 4,151.80, 5,730.18 and 3,712.12

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Solution

The fourth proportional to 4,151.80, 5,730.18 and 3,712.12 is: 5,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.80 : 5,730.18 = 3,712.12 : x
  2. Step 2: Convert to fraction form
    4,151.80/5,730.18 = 3,712.12/x
  3. Step 3: Cross multiply
    4,151.80x = 5,730.18 × 3,712.12
  4. Step 4: Simplify right side
    4,151.80x = 21,271,115.78
  5. Step 5: Solve for x
    x = 21,271,115.78/4,151.80
  6. Step 6: Final answer
    x = 5,123.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.