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Finding the Fourth Proportional to 5,178.35, 7,770.18 and 2,258.66

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Solution

The fourth proportional to 5,178.35, 7,770.18 and 2,258.66 is: 3,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.35 : 7,770.18 = 2,258.66 : x
  2. Step 2: Convert to fraction form
    5,178.35/7,770.18 = 2,258.66/x
  3. Step 3: Cross multiply
    5,178.35x = 7,770.18 × 2,258.66
  4. Step 4: Simplify right side
    5,178.35x = 17,550,155.91
  5. Step 5: Solve for x
    x = 17,550,155.91/5,178.35
  6. Step 6: Final answer
    x = 3,389.14

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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.