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Finding the Fourth Proportional to 5,641.20, 7,779.72 and 4,844.28

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Solution

The fourth proportional to 5,641.20, 7,779.72 and 4,844.28 is: 6,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.20 : 7,779.72 = 4,844.28 : x
  2. Step 2: Convert to fraction form
    5,641.20/7,779.72 = 4,844.28/x
  3. Step 3: Cross multiply
    5,641.20x = 7,779.72 × 4,844.28
  4. Step 4: Simplify right side
    5,641.20x = 37,687,142.00
  5. Step 5: Solve for x
    x = 37,687,142.00/5,641.20
  6. Step 6: Final answer
    x = 6,680.70

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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.