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Finding the Fourth Proportional to 3,788.48, 5,705.51 and 3,355.18

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Solution

The fourth proportional to 3,788.48, 5,705.51 and 3,355.18 is: 5,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.48 : 5,705.51 = 3,355.18 : x
  2. Step 2: Convert to fraction form
    3,788.48/5,705.51 = 3,355.18/x
  3. Step 3: Cross multiply
    3,788.48x = 5,705.51 × 3,355.18
  4. Step 4: Simplify right side
    3,788.48x = 19,143,013.04
  5. Step 5: Solve for x
    x = 19,143,013.04/3,788.48
  6. Step 6: Final answer
    x = 5,052.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.