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Finding the Fourth Proportional to 6,416, 8,854.16 and 3,621.52

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Solution

The fourth proportional to 6,416, 8,854.16 and 3,621.52 is: 4,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 8,854.16 = 3,621.52 : x
  2. Step 2: Convert to fraction form
    6,416/8,854.16 = 3,621.52/x
  3. Step 3: Cross multiply
    6,416x = 8,854.16 × 3,621.52
  4. Step 4: Simplify right side
    6,416x = 32,065,517.52
  5. Step 5: Solve for x
    x = 32,065,517.52/6,416
  6. Step 6: Final answer
    x = 4,997.74

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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.