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Finding the Fourth Proportional to 3,875.61, 5,813.11 and 1,243.38

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Solution

The fourth proportional to 3,875.61, 5,813.11 and 1,243.38 is: 1,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.61 : 5,813.11 = 1,243.38 : x
  2. Step 2: Convert to fraction form
    3,875.61/5,813.11 = 1,243.38/x
  3. Step 3: Cross multiply
    3,875.61x = 5,813.11 × 1,243.38
  4. Step 4: Simplify right side
    3,875.61x = 7,227,904.71
  5. Step 5: Solve for x
    x = 7,227,904.71/3,875.61
  6. Step 6: Final answer
    x = 1,864.97

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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.