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Finding the Fourth Proportional to 5,365.81, 8,047.17 and 1,854.90

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Solution

The fourth proportional to 5,365.81, 8,047.17 and 1,854.90 is: 2,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.81 : 8,047.17 = 1,854.90 : x
  2. Step 2: Convert to fraction form
    5,365.81/8,047.17 = 1,854.90/x
  3. Step 3: Cross multiply
    5,365.81x = 8,047.17 × 1,854.90
  4. Step 4: Simplify right side
    5,365.81x = 14,926,665.46
  5. Step 5: Solve for x
    x = 14,926,665.46/5,365.81
  6. Step 6: Final answer
    x = 2,781.81

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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.