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Finding the Fourth Proportional to 5,306.46, 7,920.74 and 4,915.50

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Solution

The fourth proportional to 5,306.46, 7,920.74 and 4,915.50 is: 7,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.46 : 7,920.74 = 4,915.50 : x
  2. Step 2: Convert to fraction form
    5,306.46/7,920.74 = 4,915.50/x
  3. Step 3: Cross multiply
    5,306.46x = 7,920.74 × 4,915.50
  4. Step 4: Simplify right side
    5,306.46x = 38,934,372.89
  5. Step 5: Solve for x
    x = 38,934,372.89/5,306.46
  6. Step 6: Final answer
    x = 7,337.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.