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Finding the Fourth Proportional to 5,642, 7,785.96 and 3,158.80

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Solution

The fourth proportional to 5,642, 7,785.96 and 3,158.80 is: 4,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 7,785.96 = 3,158.80 : x
  2. Step 2: Convert to fraction form
    5,642/7,785.96 = 3,158.80/x
  3. Step 3: Cross multiply
    5,642x = 7,785.96 × 3,158.80
  4. Step 4: Simplify right side
    5,642x = 24,594,290.45
  5. Step 5: Solve for x
    x = 24,594,290.45/5,642
  6. Step 6: Final answer
    x = 4,359.14

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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.