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Finding the Fourth Proportional to 4,032.59, 6,049.52 and 1,400.88

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Solution

The fourth proportional to 4,032.59, 6,049.52 and 1,400.88 is: 2,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.59 : 6,049.52 = 1,400.88 : x
  2. Step 2: Convert to fraction form
    4,032.59/6,049.52 = 1,400.88/x
  3. Step 3: Cross multiply
    4,032.59x = 6,049.52 × 1,400.88
  4. Step 4: Simplify right side
    4,032.59x = 8,474,638.48
  5. Step 5: Solve for x
    x = 8,474,638.48/4,032.59
  6. Step 6: Final answer
    x = 2,101.54

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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.