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Finding the Fourth Proportional to 4,544.20, 6,816.14 and 4,059.24

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Solution

The fourth proportional to 4,544.20, 6,816.14 and 4,059.24 is: 6,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.20 : 6,816.14 = 4,059.24 : x
  2. Step 2: Convert to fraction form
    4,544.20/6,816.14 = 4,059.24/x
  3. Step 3: Cross multiply
    4,544.20x = 6,816.14 × 4,059.24
  4. Step 4: Simplify right side
    4,544.20x = 27,668,348.13
  5. Step 5: Solve for x
    x = 27,668,348.13/4,544.20
  6. Step 6: Final answer
    x = 6,088.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.