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Finding the Fourth Proportional to 6,114.52, 8,437.90 and 3,461.87

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Solution

The fourth proportional to 6,114.52, 8,437.90 and 3,461.87 is: 4,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.52 : 8,437.90 = 3,461.87 : x
  2. Step 2: Convert to fraction form
    6,114.52/8,437.90 = 3,461.87/x
  3. Step 3: Cross multiply
    6,114.52x = 8,437.90 × 3,461.87
  4. Step 4: Simplify right side
    6,114.52x = 29,210,912.87
  5. Step 5: Solve for x
    x = 29,210,912.87/6,114.52
  6. Step 6: Final answer
    x = 4,777.30

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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.