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Finding the Fourth Proportional to 5,750.52, 7,934.38 and 4,159.50

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Solution

The fourth proportional to 5,750.52, 7,934.38 and 4,159.50 is: 5,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.52 : 7,934.38 = 4,159.50 : x
  2. Step 2: Convert to fraction form
    5,750.52/7,934.38 = 4,159.50/x
  3. Step 3: Cross multiply
    5,750.52x = 7,934.38 × 4,159.50
  4. Step 4: Simplify right side
    5,750.52x = 33,003,053.61
  5. Step 5: Solve for x
    x = 33,003,053.61/5,750.52
  6. Step 6: Final answer
    x = 5,739.14

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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.