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Finding the Fourth Proportional to 3,805.46, 5,707.82 and 2,580.74

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Solution

The fourth proportional to 3,805.46, 5,707.82 and 2,580.74 is: 3,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.46 : 5,707.82 = 2,580.74 : x
  2. Step 2: Convert to fraction form
    3,805.46/5,707.82 = 2,580.74/x
  3. Step 3: Cross multiply
    3,805.46x = 5,707.82 × 2,580.74
  4. Step 4: Simplify right side
    3,805.46x = 14,730,399.39
  5. Step 5: Solve for x
    x = 14,730,399.39/3,805.46
  6. Step 6: Final answer
    x = 3,870.86

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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.