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Finding the Fourth Proportional to 3,565.62, 4,919.34 and 2,148.77

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Solution

The fourth proportional to 3,565.62, 4,919.34 and 2,148.77 is: 2,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.62 : 4,919.34 = 2,148.77 : x
  2. Step 2: Convert to fraction form
    3,565.62/4,919.34 = 2,148.77/x
  3. Step 3: Cross multiply
    3,565.62x = 4,919.34 × 2,148.77
  4. Step 4: Simplify right side
    3,565.62x = 10,570,550.57
  5. Step 5: Solve for x
    x = 10,570,550.57/3,565.62
  6. Step 6: Final answer
    x = 2,964.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.