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Finding the Fourth Proportional to 3,932.37, 5,897.02 and 1,591.77

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Solution

The fourth proportional to 3,932.37, 5,897.02 and 1,591.77 is: 2,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.37 : 5,897.02 = 1,591.77 : x
  2. Step 2: Convert to fraction form
    3,932.37/5,897.02 = 1,591.77/x
  3. Step 3: Cross multiply
    3,932.37x = 5,897.02 × 1,591.77
  4. Step 4: Simplify right side
    3,932.37x = 9,386,699.53
  5. Step 5: Solve for x
    x = 9,386,699.53/3,932.37
  6. Step 6: Final answer
    x = 2,387.03

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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.