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Finding the Fourth Proportional to 6,453.60, 8,909.28 and 4,218.72

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Solution

The fourth proportional to 6,453.60, 8,909.28 and 4,218.72 is: 5,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.60 : 8,909.28 = 4,218.72 : x
  2. Step 2: Convert to fraction form
    6,453.60/8,909.28 = 4,218.72/x
  3. Step 3: Cross multiply
    6,453.60x = 8,909.28 × 4,218.72
  4. Step 4: Simplify right side
    6,453.60x = 37,585,757.72
  5. Step 5: Solve for x
    x = 37,585,757.72/6,453.60
  6. Step 6: Final answer
    x = 5,824.00

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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.