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Finding the Fourth Proportional to 5,915.98, 8,164.47 and 3,398.50

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Solution

The fourth proportional to 5,915.98, 8,164.47 and 3,398.50 is: 4,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.98 : 8,164.47 = 3,398.50 : x
  2. Step 2: Convert to fraction form
    5,915.98/8,164.47 = 3,398.50/x
  3. Step 3: Cross multiply
    5,915.98x = 8,164.47 × 3,398.50
  4. Step 4: Simplify right side
    5,915.98x = 27,746,951.30
  5. Step 5: Solve for x
    x = 27,746,951.30/5,915.98
  6. Step 6: Final answer
    x = 4,690.17

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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.