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Finding the Fourth Proportional to 3,703.84, 5,549.38 and 2,222.15

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Solution

The fourth proportional to 3,703.84, 5,549.38 and 2,222.15 is: 3,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.84 : 5,549.38 = 2,222.15 : x
  2. Step 2: Convert to fraction form
    3,703.84/5,549.38 = 2,222.15/x
  3. Step 3: Cross multiply
    3,703.84x = 5,549.38 × 2,222.15
  4. Step 4: Simplify right side
    3,703.84x = 12,331,521.46
  5. Step 5: Solve for x
    x = 12,331,521.46/3,703.84
  6. Step 6: Final answer
    x = 3,329.39

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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.