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Finding the Fourth Proportional to 4,638.38, 6,957.88 and 1,865.05

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Solution

The fourth proportional to 4,638.38, 6,957.88 and 1,865.05 is: 2,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.38 : 6,957.88 = 1,865.05 : x
  2. Step 2: Convert to fraction form
    4,638.38/6,957.88 = 1,865.05/x
  3. Step 3: Cross multiply
    4,638.38x = 6,957.88 × 1,865.05
  4. Step 4: Simplify right side
    4,638.38x = 12,976,798.76
  5. Step 5: Solve for x
    x = 12,976,798.76/4,638.38
  6. Step 6: Final answer
    x = 2,797.70

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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.