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Finding the Fourth Proportional to 6,419.40, 8,864.28 and 4,065.72

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Solution

The fourth proportional to 6,419.40, 8,864.28 and 4,065.72 is: 5,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.40 : 8,864.28 = 4,065.72 : x
  2. Step 2: Convert to fraction form
    6,419.40/8,864.28 = 4,065.72/x
  3. Step 3: Cross multiply
    6,419.40x = 8,864.28 × 4,065.72
  4. Step 4: Simplify right side
    6,419.40x = 36,039,680.48
  5. Step 5: Solve for x
    x = 36,039,680.48/6,419.40
  6. Step 6: Final answer
    x = 5,614.18

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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.