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Finding the Fourth Proportional to 5,638.28, 7,780.86 and 3,154.28

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Solution

The fourth proportional to 5,638.28, 7,780.86 and 3,154.28 is: 4,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.28 : 7,780.86 = 3,154.28 : x
  2. Step 2: Convert to fraction form
    5,638.28/7,780.86 = 3,154.28/x
  3. Step 3: Cross multiply
    5,638.28x = 7,780.86 × 3,154.28
  4. Step 4: Simplify right side
    5,638.28x = 24,543,011.08
  5. Step 5: Solve for x
    x = 24,543,011.08/5,638.28
  6. Step 6: Final answer
    x = 4,352.93

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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.