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Finding the Fourth Proportional to 3,730.69, 5,148.06 and 2,158.90

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Solution

The fourth proportional to 3,730.69, 5,148.06 and 2,158.90 is: 2,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.69 : 5,148.06 = 2,158.90 : x
  2. Step 2: Convert to fraction form
    3,730.69/5,148.06 = 2,158.90/x
  3. Step 3: Cross multiply
    3,730.69x = 5,148.06 × 2,158.90
  4. Step 4: Simplify right side
    3,730.69x = 11,114,146.73
  5. Step 5: Solve for x
    x = 11,114,146.73/3,730.69
  6. Step 6: Final answer
    x = 2,979.11

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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.