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Finding the Fourth Proportional to 5,776.17, 8,663.40 and 2,078.70

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Solution

The fourth proportional to 5,776.17, 8,663.40 and 2,078.70 is: 3,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.17 : 8,663.40 = 2,078.70 : x
  2. Step 2: Convert to fraction form
    5,776.17/8,663.40 = 2,078.70/x
  3. Step 3: Cross multiply
    5,776.17x = 8,663.40 × 2,078.70
  4. Step 4: Simplify right side
    5,776.17x = 18,008,609.58
  5. Step 5: Solve for x
    x = 18,008,609.58/5,776.17
  6. Step 6: Final answer
    x = 3,117.74

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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.