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Finding the Fourth Proportional to 6,381.69, 8,809.82 and 4,258.45

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Solution

The fourth proportional to 6,381.69, 8,809.82 and 4,258.45 is: 5,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.69 : 8,809.82 = 4,258.45 : x
  2. Step 2: Convert to fraction form
    6,381.69/8,809.82 = 4,258.45/x
  3. Step 3: Cross multiply
    6,381.69x = 8,809.82 × 4,258.45
  4. Step 4: Simplify right side
    6,381.69x = 37,516,177.98
  5. Step 5: Solve for x
    x = 37,516,177.98/6,381.69
  6. Step 6: Final answer
    x = 5,878.72

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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.