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Finding the Fourth Proportional to 3,852.70, 5,775.13 and 2,448.15

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Solution

The fourth proportional to 3,852.70, 5,775.13 and 2,448.15 is: 3,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.70 : 5,775.13 = 2,448.15 : x
  2. Step 2: Convert to fraction form
    3,852.70/5,775.13 = 2,448.15/x
  3. Step 3: Cross multiply
    3,852.70x = 5,775.13 × 2,448.15
  4. Step 4: Simplify right side
    3,852.70x = 14,138,398.40
  5. Step 5: Solve for x
    x = 14,138,398.40/3,852.70
  6. Step 6: Final answer
    x = 3,669.74

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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.