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Finding the Fourth Proportional to 3,264.47, 4,893.88 and 1,288.78

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Solution

The fourth proportional to 3,264.47, 4,893.88 and 1,288.78 is: 1,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.47 : 4,893.88 = 1,288.78 : x
  2. Step 2: Convert to fraction form
    3,264.47/4,893.88 = 1,288.78/x
  3. Step 3: Cross multiply
    3,264.47x = 4,893.88 × 1,288.78
  4. Step 4: Simplify right side
    3,264.47x = 6,307,119.21
  5. Step 5: Solve for x
    x = 6,307,119.21/3,264.47
  6. Step 6: Final answer
    x = 1,932.05

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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.