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Finding the Fourth Proportional to 4,778.76, 6,597.89 and 3,657.68

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Solution

The fourth proportional to 4,778.76, 6,597.89 and 3,657.68 is: 5,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.76 : 6,597.89 = 3,657.68 : x
  2. Step 2: Convert to fraction form
    4,778.76/6,597.89 = 3,657.68/x
  3. Step 3: Cross multiply
    4,778.76x = 6,597.89 × 3,657.68
  4. Step 4: Simplify right side
    4,778.76x = 24,132,970.30
  5. Step 5: Solve for x
    x = 24,132,970.30/4,778.76
  6. Step 6: Final answer
    x = 5,050.05

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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.