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Finding the Fourth Proportional to 5,601.84, 8,387.04 and 4,221.60

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Solution

The fourth proportional to 5,601.84, 8,387.04 and 4,221.60 is: 6,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.84 : 8,387.04 = 4,221.60 : x
  2. Step 2: Convert to fraction form
    5,601.84/8,387.04 = 4,221.60/x
  3. Step 3: Cross multiply
    5,601.84x = 8,387.04 × 4,221.60
  4. Step 4: Simplify right side
    5,601.84x = 35,406,728.06
  5. Step 5: Solve for x
    x = 35,406,728.06/5,601.84
  6. Step 6: Final answer
    x = 6,320.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.