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Finding the Fourth Proportional to 5,702.40, 8,548.20 and 3,364.20

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Solution

The fourth proportional to 5,702.40, 8,548.20 and 3,364.20 is: 5,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.40 : 8,548.20 = 3,364.20 : x
  2. Step 2: Convert to fraction form
    5,702.40/8,548.20 = 3,364.20/x
  3. Step 3: Cross multiply
    5,702.40x = 8,548.20 × 3,364.20
  4. Step 4: Simplify right side
    5,702.40x = 28,757,854.44
  5. Step 5: Solve for x
    x = 28,757,854.44/5,702.40
  6. Step 6: Final answer
    x = 5,043.11

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1.5x scale

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.