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Finding the Fourth Proportional to 5,927.70, 8,891.54 and 1,545.18

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Solution

The fourth proportional to 5,927.70, 8,891.54 and 1,545.18 is: 2,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.70 : 8,891.54 = 1,545.18 : x
  2. Step 2: Convert to fraction form
    5,927.70/8,891.54 = 1,545.18/x
  3. Step 3: Cross multiply
    5,927.70x = 8,891.54 × 1,545.18
  4. Step 4: Simplify right side
    5,927.70x = 13,739,029.78
  5. Step 5: Solve for x
    x = 13,739,029.78/5,927.70
  6. Step 6: Final answer
    x = 2,317.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.