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Finding the Fourth Proportional to 3,640.88, 5,461.53 and 1,043.75

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Solution

The fourth proportional to 3,640.88, 5,461.53 and 1,043.75 is: 1,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.88 : 5,461.53 = 1,043.75 : x
  2. Step 2: Convert to fraction form
    3,640.88/5,461.53 = 1,043.75/x
  3. Step 3: Cross multiply
    3,640.88x = 5,461.53 × 1,043.75
  4. Step 4: Simplify right side
    3,640.88x = 5,700,466.72
  5. Step 5: Solve for x
    x = 5,700,466.72/3,640.88
  6. Step 6: Final answer
    x = 1,565.68

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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.