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Finding the Fourth Proportional to 5,702.34, 7,869.33 and 3,184.32

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Solution

The fourth proportional to 5,702.34, 7,869.33 and 3,184.32 is: 4,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.34 : 7,869.33 = 3,184.32 : x
  2. Step 2: Convert to fraction form
    5,702.34/7,869.33 = 3,184.32/x
  3. Step 3: Cross multiply
    5,702.34x = 7,869.33 × 3,184.32
  4. Step 4: Simplify right side
    5,702.34x = 25,058,464.91
  5. Step 5: Solve for x
    x = 25,058,464.91/5,702.34
  6. Step 6: Final answer
    x = 4,394.42

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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.