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Finding the Fourth Proportional to 5,342.37, 8,009.10 and 3,702.12

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Solution

The fourth proportional to 5,342.37, 8,009.10 and 3,702.12 is: 5,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.37 : 8,009.10 = 3,702.12 : x
  2. Step 2: Convert to fraction form
    5,342.37/8,009.10 = 3,702.12/x
  3. Step 3: Cross multiply
    5,342.37x = 8,009.10 × 3,702.12
  4. Step 4: Simplify right side
    5,342.37x = 29,650,649.29
  5. Step 5: Solve for x
    x = 29,650,649.29/5,342.37
  6. Step 6: Final answer
    x = 5,550.09

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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.