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Finding the Fourth Proportional to 5,798.10, 8,001.09 and 3,702.90

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Solution

The fourth proportional to 5,798.10, 8,001.09 and 3,702.90 is: 5,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.10 : 8,001.09 = 3,702.90 : x
  2. Step 2: Convert to fraction form
    5,798.10/8,001.09 = 3,702.90/x
  3. Step 3: Cross multiply
    5,798.10x = 8,001.09 × 3,702.90
  4. Step 4: Simplify right side
    5,798.10x = 29,627,236.16
  5. Step 5: Solve for x
    x = 29,627,236.16/5,798.10
  6. Step 6: Final answer
    x = 5,109.82

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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.