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Finding the Fourth Proportional to 3,885.48, 5,827.86 and 1,545.12

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Solution

The fourth proportional to 3,885.48, 5,827.86 and 1,545.12 is: 2,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.48 : 5,827.86 = 1,545.12 : x
  2. Step 2: Convert to fraction form
    3,885.48/5,827.86 = 1,545.12/x
  3. Step 3: Cross multiply
    3,885.48x = 5,827.86 × 1,545.12
  4. Step 4: Simplify right side
    3,885.48x = 9,004,743.04
  5. Step 5: Solve for x
    x = 9,004,743.04/3,885.48
  6. Step 6: Final answer
    x = 2,317.54

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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.