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Finding the Fourth Proportional to 3,774.64, 5,200.70 and 3,298.90

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Solution

The fourth proportional to 3,774.64, 5,200.70 and 3,298.90 is: 4,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.64 : 5,200.70 = 3,298.90 : x
  2. Step 2: Convert to fraction form
    3,774.64/5,200.70 = 3,298.90/x
  3. Step 3: Cross multiply
    3,774.64x = 5,200.70 × 3,298.90
  4. Step 4: Simplify right side
    3,774.64x = 17,156,589.23
  5. Step 5: Solve for x
    x = 17,156,589.23/3,774.64
  6. Step 6: Final answer
    x = 4,545.23

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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.