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Finding the Fourth Proportional to 5,976.86, 8,248.23 and 3,459.76

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Solution

The fourth proportional to 5,976.86, 8,248.23 and 3,459.76 is: 4,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.86 : 8,248.23 = 3,459.76 : x
  2. Step 2: Convert to fraction form
    5,976.86/8,248.23 = 3,459.76/x
  3. Step 3: Cross multiply
    5,976.86x = 8,248.23 × 3,459.76
  4. Step 4: Simplify right side
    5,976.86x = 28,536,875.60
  5. Step 5: Solve for x
    x = 28,536,875.60/5,976.86
  6. Step 6: Final answer
    x = 4,774.56

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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.