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Finding the Fourth Proportional to 4,711.77, 7,013.79 and 4,641.71

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Solution

The fourth proportional to 4,711.77, 7,013.79 and 4,641.71 is: 6,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.77 : 7,013.79 = 4,641.71 : x
  2. Step 2: Convert to fraction form
    4,711.77/7,013.79 = 4,641.71/x
  3. Step 3: Cross multiply
    4,711.77x = 7,013.79 × 4,641.71
  4. Step 4: Simplify right side
    4,711.77x = 32,555,944.11
  5. Step 5: Solve for x
    x = 32,555,944.11/4,711.77
  6. Step 6: Final answer
    x = 6,909.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.