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Finding the Fourth Proportional to 3,872.81, 5,345.18 and 2,301.82

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Solution

The fourth proportional to 3,872.81, 5,345.18 and 2,301.82 is: 3,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.81 : 5,345.18 = 2,301.82 : x
  2. Step 2: Convert to fraction form
    3,872.81/5,345.18 = 2,301.82/x
  3. Step 3: Cross multiply
    3,872.81x = 5,345.18 × 2,301.82
  4. Step 4: Simplify right side
    3,872.81x = 12,303,642.23
  5. Step 5: Solve for x
    x = 12,303,642.23/3,872.81
  6. Step 6: Final answer
    x = 3,176.93

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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.