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Finding the Fourth Proportional to 3,844.32, 5,303.76 and 2,351.52

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Solution

The fourth proportional to 3,844.32, 5,303.76 and 2,351.52 is: 3,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.32 : 5,303.76 = 2,351.52 : x
  2. Step 2: Convert to fraction form
    3,844.32/5,303.76 = 2,351.52/x
  3. Step 3: Cross multiply
    3,844.32x = 5,303.76 × 2,351.52
  4. Step 4: Simplify right side
    3,844.32x = 12,471,897.72
  5. Step 5: Solve for x
    x = 12,471,897.72/3,844.32
  6. Step 6: Final answer
    x = 3,244.24

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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.