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Finding the Fourth Proportional to 5,948.62, 8,906.32 and 4,567.57

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Solution

The fourth proportional to 5,948.62, 8,906.32 and 4,567.57 is: 6,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.62 : 8,906.32 = 4,567.57 : x
  2. Step 2: Convert to fraction form
    5,948.62/8,906.32 = 4,567.57/x
  3. Step 3: Cross multiply
    5,948.62x = 8,906.32 × 4,567.57
  4. Step 4: Simplify right side
    5,948.62x = 40,680,223.49
  5. Step 5: Solve for x
    x = 40,680,223.49/5,948.62
  6. Step 6: Final answer
    x = 6,838.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.