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Finding the Fourth Proportional to 3,723.84, 5,574.24 and 2,473.20

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Solution

The fourth proportional to 3,723.84, 5,574.24 and 2,473.20 is: 3,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.84 : 5,574.24 = 2,473.20 : x
  2. Step 2: Convert to fraction form
    3,723.84/5,574.24 = 2,473.20/x
  3. Step 3: Cross multiply
    3,723.84x = 5,574.24 × 2,473.20
  4. Step 4: Simplify right side
    3,723.84x = 13,786,210.37
  5. Step 5: Solve for x
    x = 13,786,210.37/3,723.84
  6. Step 6: Final answer
    x = 3,702.15

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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.