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Finding the Fourth Proportional to 5,164.00, 7,126.31 and 2,926.31

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Solution

The fourth proportional to 5,164.00, 7,126.31 and 2,926.31 is: 4,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.00 : 7,126.31 = 2,926.31 : x
  2. Step 2: Convert to fraction form
    5,164.00/7,126.31 = 2,926.31/x
  3. Step 3: Cross multiply
    5,164.00x = 7,126.31 × 2,926.31
  4. Step 4: Simplify right side
    5,164.00x = 20,853,741.95
  5. Step 5: Solve for x
    x = 20,853,741.95/5,164.00
  6. Step 6: Final answer
    x = 4,038.29

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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.