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Finding the Fourth Proportional to 4,778.85, 6,598.02 and 3,657.78

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Solution

The fourth proportional to 4,778.85, 6,598.02 and 3,657.78 is: 5,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.85 : 6,598.02 = 3,657.78 : x
  2. Step 2: Convert to fraction form
    4,778.85/6,598.02 = 3,657.78/x
  3. Step 3: Cross multiply
    4,778.85x = 6,598.02 × 3,657.78
  4. Step 4: Simplify right side
    4,778.85x = 24,134,105.60
  5. Step 5: Solve for x
    x = 24,134,105.60/4,778.85
  6. Step 6: Final answer
    x = 5,050.19

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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.