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Finding the Fourth Proportional to 4,639.64, 6,959.84 and 1,865.94

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Solution

The fourth proportional to 4,639.64, 6,959.84 and 1,865.94 is: 2,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.64 : 6,959.84 = 1,865.94 : x
  2. Step 2: Convert to fraction form
    4,639.64/6,959.84 = 1,865.94/x
  3. Step 3: Cross multiply
    4,639.64x = 6,959.84 × 1,865.94
  4. Step 4: Simplify right side
    4,639.64x = 12,986,634.52
  5. Step 5: Solve for x
    x = 12,986,634.52/4,639.64
  6. Step 6: Final answer
    x = 2,799.06

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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.