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Finding the Fourth Proportional to 4,565.41, 6,849.23 and 1,278.45

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Solution

The fourth proportional to 4,565.41, 6,849.23 and 1,278.45 is: 1,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.41 : 6,849.23 = 1,278.45 : x
  2. Step 2: Convert to fraction form
    4,565.41/6,849.23 = 1,278.45/x
  3. Step 3: Cross multiply
    4,565.41x = 6,849.23 × 1,278.45
  4. Step 4: Simplify right side
    4,565.41x = 8,756,391.70
  5. Step 5: Solve for x
    x = 8,756,391.70/4,565.41
  6. Step 6: Final answer
    x = 1,917.99

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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.