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Finding the Fourth Proportional to 5,982.30, 8,248.05 and 5,141.34

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Solution

The fourth proportional to 5,982.30, 8,248.05 and 5,141.34 is: 7,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.30 : 8,248.05 = 5,141.34 : x
  2. Step 2: Convert to fraction form
    5,982.30/8,248.05 = 5,141.34/x
  3. Step 3: Cross multiply
    5,982.30x = 8,248.05 × 5,141.34
  4. Step 4: Simplify right side
    5,982.30x = 42,406,029.39
  5. Step 5: Solve for x
    x = 42,406,029.39/5,982.30
  6. Step 6: Final answer
    x = 7,088.58

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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.