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Finding the Fourth Proportional to 3,730.50, 5,148.12 and 2,074.50

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Solution

The fourth proportional to 3,730.50, 5,148.12 and 2,074.50 is: 2,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.50 : 5,148.12 = 2,074.50 : x
  2. Step 2: Convert to fraction form
    3,730.50/5,148.12 = 2,074.50/x
  3. Step 3: Cross multiply
    3,730.50x = 5,148.12 × 2,074.50
  4. Step 4: Simplify right side
    3,730.50x = 10,679,774.94
  5. Step 5: Solve for x
    x = 10,679,774.94/3,730.50
  6. Step 6: Final answer
    x = 2,862.83

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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.