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Finding the Fourth Proportional to 4,142.99, 6,214.49 and 2,915.88

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Solution

The fourth proportional to 4,142.99, 6,214.49 and 2,915.88 is: 4,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.99 : 6,214.49 = 2,915.88 : x
  2. Step 2: Convert to fraction form
    4,142.99/6,214.49 = 2,915.88/x
  3. Step 3: Cross multiply
    4,142.99x = 6,214.49 × 2,915.88
  4. Step 4: Simplify right side
    4,142.99x = 18,120,715.11
  5. Step 5: Solve for x
    x = 18,120,715.11/4,142.99
  6. Step 6: Final answer
    x = 4,373.82

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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.