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Finding the Fourth Proportional to 3,750.64, 5,626.20 and 1,285.72

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Solution

The fourth proportional to 3,750.64, 5,626.20 and 1,285.72 is: 1,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.64 : 5,626.20 = 1,285.72 : x
  2. Step 2: Convert to fraction form
    3,750.64/5,626.20 = 1,285.72/x
  3. Step 3: Cross multiply
    3,750.64x = 5,626.20 × 1,285.72
  4. Step 4: Simplify right side
    3,750.64x = 7,233,717.86
  5. Step 5: Solve for x
    x = 7,233,717.86/3,750.64
  6. Step 6: Final answer
    x = 1,928.66

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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.