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Finding the Fourth Proportional to 5,952.61, 8,221.32 and 4,060.94

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Solution

The fourth proportional to 5,952.61, 8,221.32 and 4,060.94 is: 5,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.61 : 8,221.32 = 4,060.94 : x
  2. Step 2: Convert to fraction form
    5,952.61/8,221.32 = 4,060.94/x
  3. Step 3: Cross multiply
    5,952.61x = 8,221.32 × 4,060.94
  4. Step 4: Simplify right side
    5,952.61x = 33,386,287.24
  5. Step 5: Solve for x
    x = 33,386,287.24/5,952.61
  6. Step 6: Final answer
    x = 5,608.69

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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.