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Finding the Fourth Proportional to 5,312.38, 7,970.28 and 1,615

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Solution

The fourth proportional to 5,312.38, 7,970.28 and 1,615 is: 2,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.38 : 7,970.28 = 1,615 : x
  2. Step 2: Convert to fraction form
    5,312.38/7,970.28 = 1,615/x
  3. Step 3: Cross multiply
    5,312.38x = 7,970.28 × 1,615
  4. Step 4: Simplify right side
    5,312.38x = 12,872,002.20
  5. Step 5: Solve for x
    x = 12,872,002.20/5,312.38
  6. Step 6: Final answer
    x = 2,423.02

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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.