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Finding the Fourth Proportional to 5,602.28, 7,730.82 and 3,211.74

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Solution

The fourth proportional to 5,602.28, 7,730.82 and 3,211.74 is: 4,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.28 : 7,730.82 = 3,211.74 : x
  2. Step 2: Convert to fraction form
    5,602.28/7,730.82 = 3,211.74/x
  3. Step 3: Cross multiply
    5,602.28x = 7,730.82 × 3,211.74
  4. Step 4: Simplify right side
    5,602.28x = 24,829,396.54
  5. Step 5: Solve for x
    x = 24,829,396.54/5,602.28
  6. Step 6: Final answer
    x = 4,432.02

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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.