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Finding the Fourth Proportional to 4,710.18, 6,500.02 and 2,614.30

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Solution

The fourth proportional to 4,710.18, 6,500.02 and 2,614.30 is: 3,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.18 : 6,500.02 = 2,614.30 : x
  2. Step 2: Convert to fraction form
    4,710.18/6,500.02 = 2,614.30/x
  3. Step 3: Cross multiply
    4,710.18x = 6,500.02 × 2,614.30
  4. Step 4: Simplify right side
    4,710.18x = 16,993,002.29
  5. Step 5: Solve for x
    x = 16,993,002.29/4,710.18
  6. Step 6: Final answer
    x = 3,607.72

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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.