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Finding the Fourth Proportional to 5,246.19, 7,865.19 and 1,957.50

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Solution

The fourth proportional to 5,246.19, 7,865.19 and 1,957.50 is: 2,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.19 : 7,865.19 = 1,957.50 : x
  2. Step 2: Convert to fraction form
    5,246.19/7,865.19 = 1,957.50/x
  3. Step 3: Cross multiply
    5,246.19x = 7,865.19 × 1,957.50
  4. Step 4: Simplify right side
    5,246.19x = 15,396,109.43
  5. Step 5: Solve for x
    x = 15,396,109.43/5,246.19
  6. Step 6: Final answer
    x = 2,934.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.