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Finding the Fourth Proportional to 5,702.58, 7,869.33 and 3,184.65

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Solution

The fourth proportional to 5,702.58, 7,869.33 and 3,184.65 is: 4,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.58 : 7,869.33 = 3,184.65 : x
  2. Step 2: Convert to fraction form
    5,702.58/7,869.33 = 3,184.65/x
  3. Step 3: Cross multiply
    5,702.58x = 7,869.33 × 3,184.65
  4. Step 4: Simplify right side
    5,702.58x = 25,061,061.78
  5. Step 5: Solve for x
    x = 25,061,061.78/5,702.58
  6. Step 6: Final answer
    x = 4,394.69

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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.