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Finding the Fourth Proportional to 5,737.65, 7,918.34 and 3,219.93

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Solution

The fourth proportional to 5,737.65, 7,918.34 and 3,219.93 is: 4,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.65 : 7,918.34 = 3,219.93 : x
  2. Step 2: Convert to fraction form
    5,737.65/7,918.34 = 3,219.93/x
  3. Step 3: Cross multiply
    5,737.65x = 7,918.34 × 3,219.93
  4. Step 4: Simplify right side
    5,737.65x = 25,496,484.42
  5. Step 5: Solve for x
    x = 25,496,484.42/5,737.65
  6. Step 6: Final answer
    x = 4,443.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.