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Finding the Fourth Proportional to 5,672.40, 7,827.68 and 3,154.65

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Solution

The fourth proportional to 5,672.40, 7,827.68 and 3,154.65 is: 4,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.40 : 7,827.68 = 3,154.65 : x
  2. Step 2: Convert to fraction form
    5,672.40/7,827.68 = 3,154.65/x
  3. Step 3: Cross multiply
    5,672.40x = 7,827.68 × 3,154.65
  4. Step 4: Simplify right side
    5,672.40x = 24,693,574.94
  5. Step 5: Solve for x
    x = 24,693,574.94/5,672.40
  6. Step 6: Final answer
    x = 4,353.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.