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Finding the Fourth Proportional to 6,439.84, 8,887.12 and 3,607.42

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Solution

The fourth proportional to 6,439.84, 8,887.12 and 3,607.42 is: 4,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.84 : 8,887.12 = 3,607.42 : x
  2. Step 2: Convert to fraction form
    6,439.84/8,887.12 = 3,607.42/x
  3. Step 3: Cross multiply
    6,439.84x = 8,887.12 × 3,607.42
  4. Step 4: Simplify right side
    6,439.84x = 32,059,559.86
  5. Step 5: Solve for x
    x = 32,059,559.86/6,439.84
  6. Step 6: Final answer
    x = 4,978.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.