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Finding the Fourth Proportional to 4,778.22, 6,597.16 and 3,657.16

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Solution

The fourth proportional to 4,778.22, 6,597.16 and 3,657.16 is: 5,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.22 : 6,597.16 = 3,657.16 : x
  2. Step 2: Convert to fraction form
    4,778.22/6,597.16 = 3,657.16/x
  3. Step 3: Cross multiply
    4,778.22x = 6,597.16 × 3,657.16
  4. Step 4: Simplify right side
    4,778.22x = 24,126,869.67
  5. Step 5: Solve for x
    x = 24,126,869.67/4,778.22
  6. Step 6: Final answer
    x = 5,049.34

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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.