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Finding the Fourth Proportional to 5,702.15, 7,869.01 and 3,184.29

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Solution

The fourth proportional to 5,702.15, 7,869.01 and 3,184.29 is: 4,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.15 : 7,869.01 = 3,184.29 : x
  2. Step 2: Convert to fraction form
    5,702.15/7,869.01 = 3,184.29/x
  3. Step 3: Cross multiply
    5,702.15x = 7,869.01 × 3,184.29
  4. Step 4: Simplify right side
    5,702.15x = 25,057,193.93
  5. Step 5: Solve for x
    x = 25,057,193.93/5,702.15
  6. Step 6: Final answer
    x = 4,394.34

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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.