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Finding the Fourth Proportional to 3,723.66, 5,585.76 and 1,257.66

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Solution

The fourth proportional to 3,723.66, 5,585.76 and 1,257.66 is: 1,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.66 : 5,585.76 = 1,257.66 : x
  2. Step 2: Convert to fraction form
    3,723.66/5,585.76 = 1,257.66/x
  3. Step 3: Cross multiply
    3,723.66x = 5,585.76 × 1,257.66
  4. Step 4: Simplify right side
    3,723.66x = 7,024,986.92
  5. Step 5: Solve for x
    x = 7,024,986.92/3,723.66
  6. Step 6: Final answer
    x = 1,886.58

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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.