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Finding the Fourth Proportional to 5,156.52, 7,734.78 and 1,458.26

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Solution

The fourth proportional to 5,156.52, 7,734.78 and 1,458.26 is: 2,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.52 : 7,734.78 = 1,458.26 : x
  2. Step 2: Convert to fraction form
    5,156.52/7,734.78 = 1,458.26/x
  3. Step 3: Cross multiply
    5,156.52x = 7,734.78 × 1,458.26
  4. Step 4: Simplify right side
    5,156.52x = 11,279,320.28
  5. Step 5: Solve for x
    x = 11,279,320.28/5,156.52
  6. Step 6: Final answer
    x = 2,187.39

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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.