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Finding the Fourth Proportional to 4,488.30, 6,728.19 and 1,565.82

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Solution

The fourth proportional to 4,488.30, 6,728.19 and 1,565.82 is: 2,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.30 : 6,728.19 = 1,565.82 : x
  2. Step 2: Convert to fraction form
    4,488.30/6,728.19 = 1,565.82/x
  3. Step 3: Cross multiply
    4,488.30x = 6,728.19 × 1,565.82
  4. Step 4: Simplify right side
    4,488.30x = 10,535,134.47
  5. Step 5: Solve for x
    x = 10,535,134.47/4,488.30
  6. Step 6: Final answer
    x = 2,347.24

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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.