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Finding the Fourth Proportional to 3,802.84, 5,248.49 and 2,210.22

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Solution

The fourth proportional to 3,802.84, 5,248.49 and 2,210.22 is: 3,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.84 : 5,248.49 = 2,210.22 : x
  2. Step 2: Convert to fraction form
    3,802.84/5,248.49 = 2,210.22/x
  3. Step 3: Cross multiply
    3,802.84x = 5,248.49 × 2,210.22
  4. Step 4: Simplify right side
    3,802.84x = 11,600,306.52
  5. Step 5: Solve for x
    x = 11,600,306.52/3,802.84
  6. Step 6: Final answer
    x = 3,050.43

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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.