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Finding the Fourth Proportional to 3,235.52, 4,854.64 and 1,288.02

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Solution

The fourth proportional to 3,235.52, 4,854.64 and 1,288.02 is: 1,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.52 : 4,854.64 = 1,288.02 : x
  2. Step 2: Convert to fraction form
    3,235.52/4,854.64 = 1,288.02/x
  3. Step 3: Cross multiply
    3,235.52x = 4,854.64 × 1,288.02
  4. Step 4: Simplify right side
    3,235.52x = 6,252,873.41
  5. Step 5: Solve for x
    x = 6,252,873.41/3,235.52
  6. Step 6: Final answer
    x = 1,932.57

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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.