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Finding the Fourth Proportional to 3,890.19, 5,856.51 and 3,545.82

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Solution

The fourth proportional to 3,890.19, 5,856.51 and 3,545.82 is: 5,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.19 : 5,856.51 = 3,545.82 : x
  2. Step 2: Convert to fraction form
    3,890.19/5,856.51 = 3,545.82/x
  3. Step 3: Cross multiply
    3,890.19x = 5,856.51 × 3,545.82
  4. Step 4: Simplify right side
    3,890.19x = 20,766,130.29
  5. Step 5: Solve for x
    x = 20,766,130.29/3,890.19
  6. Step 6: Final answer
    x = 5,338.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.