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Finding the Fourth Proportional to 5,688.62, 7,848.66 and 3,702.10

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Solution

The fourth proportional to 5,688.62, 7,848.66 and 3,702.10 is: 5,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.62 : 7,848.66 = 3,702.10 : x
  2. Step 2: Convert to fraction form
    5,688.62/7,848.66 = 3,702.10/x
  3. Step 3: Cross multiply
    5,688.62x = 7,848.66 × 3,702.10
  4. Step 4: Simplify right side
    5,688.62x = 29,056,524.19
  5. Step 5: Solve for x
    x = 29,056,524.19/5,688.62
  6. Step 6: Final answer
    x = 5,107.83

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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.