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Finding the Fourth Proportional to 5,635.71, 7,776.88 and 3,117.83

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Solution

The fourth proportional to 5,635.71, 7,776.88 and 3,117.83 is: 4,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.71 : 7,776.88 = 3,117.83 : x
  2. Step 2: Convert to fraction form
    5,635.71/7,776.88 = 3,117.83/x
  3. Step 3: Cross multiply
    5,635.71x = 7,776.88 × 3,117.83
  4. Step 4: Simplify right side
    5,635.71x = 24,246,943.09
  5. Step 5: Solve for x
    x = 24,246,943.09/5,635.71
  6. Step 6: Final answer
    x = 4,302.38

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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.