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Finding the Fourth Proportional to 3,678.66, 5,074.65 and 2,278.98

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Solution

The fourth proportional to 3,678.66, 5,074.65 and 2,278.98 is: 3,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.66 : 5,074.65 = 2,278.98 : x
  2. Step 2: Convert to fraction form
    3,678.66/5,074.65 = 2,278.98/x
  3. Step 3: Cross multiply
    3,678.66x = 5,074.65 × 2,278.98
  4. Step 4: Simplify right side
    3,678.66x = 11,565,025.86
  5. Step 5: Solve for x
    x = 11,565,025.86/3,678.66
  6. Step 6: Final answer
    x = 3,143.81

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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.