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Finding the Fourth Proportional to 4,691.39, 6,503.74 and 4,441.71

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Solution

The fourth proportional to 4,691.39, 6,503.74 and 4,441.71 is: 6,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.39 : 6,503.74 = 4,441.71 : x
  2. Step 2: Convert to fraction form
    4,691.39/6,503.74 = 4,441.71/x
  3. Step 3: Cross multiply
    4,691.39x = 6,503.74 × 4,441.71
  4. Step 4: Simplify right side
    4,691.39x = 28,887,727.00
  5. Step 5: Solve for x
    x = 28,887,727.00/4,691.39
  6. Step 6: Final answer
    x = 6,157.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.