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Finding the Fourth Proportional to 6,416.16, 8,854.32 and 3,621.60

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Solution

The fourth proportional to 6,416.16, 8,854.32 and 3,621.60 is: 4,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.16 : 8,854.32 = 3,621.60 : x
  2. Step 2: Convert to fraction form
    6,416.16/8,854.32 = 3,621.60/x
  3. Step 3: Cross multiply
    6,416.16x = 8,854.32 × 3,621.60
  4. Step 4: Simplify right side
    6,416.16x = 32,066,805.31
  5. Step 5: Solve for x
    x = 32,066,805.31/6,416.16
  6. Step 6: Final answer
    x = 4,997.82

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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.