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Finding the Fourth Proportional to 5,642.29, 7,786.65 and 3,124.68

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Solution

The fourth proportional to 5,642.29, 7,786.65 and 3,124.68 is: 4,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.29 : 7,786.65 = 3,124.68 : x
  2. Step 2: Convert to fraction form
    5,642.29/7,786.65 = 3,124.68/x
  3. Step 3: Cross multiply
    5,642.29x = 7,786.65 × 3,124.68
  4. Step 4: Simplify right side
    5,642.29x = 24,330,789.52
  5. Step 5: Solve for x
    x = 24,330,789.52/5,642.29
  6. Step 6: Final answer
    x = 4,312.22

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