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Finding the Fourth Proportional to 3,506.98, 5,258.94 and 1,863.13

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Solution

The fourth proportional to 3,506.98, 5,258.94 and 1,863.13 is: 2,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.98 : 5,258.94 = 1,863.13 : x
  2. Step 2: Convert to fraction form
    3,506.98/5,258.94 = 1,863.13/x
  3. Step 3: Cross multiply
    3,506.98x = 5,258.94 × 1,863.13
  4. Step 4: Simplify right side
    3,506.98x = 9,798,088.88
  5. Step 5: Solve for x
    x = 9,798,088.88/3,506.98
  6. Step 6: Final answer
    x = 2,793.88

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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.