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Finding the Fourth Proportional to 5,602.28, 7,730.85 and 3,083.90

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Solution

The fourth proportional to 5,602.28, 7,730.85 and 3,083.90 is: 4,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.28 : 7,730.85 = 3,083.90 : x
  2. Step 2: Convert to fraction form
    5,602.28/7,730.85 = 3,083.90/x
  3. Step 3: Cross multiply
    5,602.28x = 7,730.85 × 3,083.90
  4. Step 4: Simplify right side
    5,602.28x = 23,841,152.90
  5. Step 5: Solve for x
    x = 23,841,152.90/5,602.28
  6. Step 6: Final answer
    x = 4,255.62

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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.