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Finding the Fourth Proportional to 4,488.48, 6,718.86 and 4,105.74

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Solution

The fourth proportional to 4,488.48, 6,718.86 and 4,105.74 is: 6,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.48 : 6,718.86 = 4,105.74 : x
  2. Step 2: Convert to fraction form
    4,488.48/6,718.86 = 4,105.74/x
  3. Step 3: Cross multiply
    4,488.48x = 6,718.86 × 4,105.74
  4. Step 4: Simplify right side
    4,488.48x = 27,585,892.26
  5. Step 5: Solve for x
    x = 27,585,892.26/4,488.48
  6. Step 6: Final answer
    x = 6,145.93

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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.