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Finding the Fourth Proportional to 3,853.32, 5,752.11 and 3,386.24

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Solution

The fourth proportional to 3,853.32, 5,752.11 and 3,386.24 is: 5,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.32 : 5,752.11 = 3,386.24 : x
  2. Step 2: Convert to fraction form
    3,853.32/5,752.11 = 3,386.24/x
  3. Step 3: Cross multiply
    3,853.32x = 5,752.11 × 3,386.24
  4. Step 4: Simplify right side
    3,853.32x = 19,477,996.21
  5. Step 5: Solve for x
    x = 19,477,996.21/3,853.32
  6. Step 6: Final answer
    x = 5,054.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.