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Finding the Fourth Proportional to 4,337.64, 6,498.90 and 2,602.44

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Solution

The fourth proportional to 4,337.64, 6,498.90 and 2,602.44 is: 3,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.64 : 6,498.90 = 2,602.44 : x
  2. Step 2: Convert to fraction form
    4,337.64/6,498.90 = 2,602.44/x
  3. Step 3: Cross multiply
    4,337.64x = 6,498.90 × 2,602.44
  4. Step 4: Simplify right side
    4,337.64x = 16,912,997.32
  5. Step 5: Solve for x
    x = 16,912,997.32/4,337.64
  6. Step 6: Final answer
    x = 3,899.12

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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.