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Finding the Fourth Proportional to 5,377.84, 8,062.76 and 2,258.76

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Solution

The fourth proportional to 5,377.84, 8,062.76 and 2,258.76 is: 3,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.84 : 8,062.76 = 2,258.76 : x
  2. Step 2: Convert to fraction form
    5,377.84/8,062.76 = 2,258.76/x
  3. Step 3: Cross multiply
    5,377.84x = 8,062.76 × 2,258.76
  4. Step 4: Simplify right side
    5,377.84x = 18,211,839.78
  5. Step 5: Solve for x
    x = 18,211,839.78/5,377.84
  6. Step 6: Final answer
    x = 3,386.46

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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.