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Finding the Fourth Proportional to 3,569.17, 5,385.67 and 3,434.17

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Solution

The fourth proportional to 3,569.17, 5,385.67 and 3,434.17 is: 5,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.17 : 5,385.67 = 3,434.17 : x
  2. Step 2: Convert to fraction form
    3,569.17/5,385.67 = 3,434.17/x
  3. Step 3: Cross multiply
    3,569.17x = 5,385.67 × 3,434.17
  4. Step 4: Simplify right side
    3,569.17x = 18,495,306.34
  5. Step 5: Solve for x
    x = 18,495,306.34/3,569.17
  6. Step 6: Final answer
    x = 5,181.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.