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Finding the Fourth Proportional to 5,641.76, 7,778.40 and 4,380.68

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Solution

The fourth proportional to 5,641.76, 7,778.40 and 4,380.68 is: 6,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.76 : 7,778.40 = 4,380.68 : x
  2. Step 2: Convert to fraction form
    5,641.76/7,778.40 = 4,380.68/x
  3. Step 3: Cross multiply
    5,641.76x = 7,778.40 × 4,380.68
  4. Step 4: Simplify right side
    5,641.76x = 34,074,681.31
  5. Step 5: Solve for x
    x = 34,074,681.31/5,641.76
  6. Step 6: Final answer
    x = 6,039.73

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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.