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Finding the Fourth Proportional to 4,565.24, 6,848.21 and 1,278.21

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Solution

The fourth proportional to 4,565.24, 6,848.21 and 1,278.21 is: 1,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.24 : 6,848.21 = 1,278.21 : x
  2. Step 2: Convert to fraction form
    4,565.24/6,848.21 = 1,278.21/x
  3. Step 3: Cross multiply
    4,565.24x = 6,848.21 × 1,278.21
  4. Step 4: Simplify right side
    4,565.24x = 8,753,472.19
  5. Step 5: Solve for x
    x = 8,753,472.19/4,565.24
  6. Step 6: Final answer
    x = 1,917.42

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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.