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Finding the Fourth Proportional to 5,276.59, 7,915.35 and 1,381

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Solution

The fourth proportional to 5,276.59, 7,915.35 and 1,381 is: 2,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.59 : 7,915.35 = 1,381 : x
  2. Step 2: Convert to fraction form
    5,276.59/7,915.35 = 1,381/x
  3. Step 3: Cross multiply
    5,276.59x = 7,915.35 × 1,381
  4. Step 4: Simplify right side
    5,276.59x = 10,931,098.35
  5. Step 5: Solve for x
    x = 10,931,098.35/5,276.59
  6. Step 6: Final answer
    x = 2,071.62

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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.