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Finding the Fourth Proportional to 4,565.77, 6,847.74 and 1,278.18

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Solution

The fourth proportional to 4,565.77, 6,847.74 and 1,278.18 is: 1,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.77 : 6,847.74 = 1,278.18 : x
  2. Step 2: Convert to fraction form
    4,565.77/6,847.74 = 1,278.18/x
  3. Step 3: Cross multiply
    4,565.77x = 6,847.74 × 1,278.18
  4. Step 4: Simplify right side
    4,565.77x = 8,752,644.31
  5. Step 5: Solve for x
    x = 8,752,644.31/4,565.77
  6. Step 6: Final answer
    x = 1,917.01

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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.