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Finding the Fourth Proportional to 3,788.84, 5,677.08 and 2,324.90

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Solution

The fourth proportional to 3,788.84, 5,677.08 and 2,324.90 is: 3,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.84 : 5,677.08 = 2,324.90 : x
  2. Step 2: Convert to fraction form
    3,788.84/5,677.08 = 2,324.90/x
  3. Step 3: Cross multiply
    3,788.84x = 5,677.08 × 2,324.90
  4. Step 4: Simplify right side
    3,788.84x = 13,198,643.29
  5. Step 5: Solve for x
    x = 13,198,643.29/3,788.84
  6. Step 6: Final answer
    x = 3,483.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.