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Finding the Fourth Proportional to 4,710.19, 6,500.36 and 2,614.31

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Solution

The fourth proportional to 4,710.19, 6,500.36 and 2,614.31 is: 3,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.19 : 6,500.36 = 2,614.31 : x
  2. Step 2: Convert to fraction form
    4,710.19/6,500.36 = 2,614.31/x
  3. Step 3: Cross multiply
    4,710.19x = 6,500.36 × 2,614.31
  4. Step 4: Simplify right side
    4,710.19x = 16,993,978.94
  5. Step 5: Solve for x
    x = 16,993,978.94/4,710.19
  6. Step 6: Final answer
    x = 3,607.92

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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.