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Finding the Fourth Proportional to 5,934.88, 8,200.01 and 4,685.50

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Solution

The fourth proportional to 5,934.88, 8,200.01 and 4,685.50 is: 6,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.88 : 8,200.01 = 4,685.50 : x
  2. Step 2: Convert to fraction form
    5,934.88/8,200.01 = 4,685.50/x
  3. Step 3: Cross multiply
    5,934.88x = 8,200.01 × 4,685.50
  4. Step 4: Simplify right side
    5,934.88x = 38,421,135.14
  5. Step 5: Solve for x
    x = 38,421,135.14/5,934.88
  6. Step 6: Final answer
    x = 6,473.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.