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Finding the Fourth Proportional to 5,489.69, 7,569.51 and 4,370.68

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Solution

The fourth proportional to 5,489.69, 7,569.51 and 4,370.68 is: 6,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.69 : 7,569.51 = 4,370.68 : x
  2. Step 2: Convert to fraction form
    5,489.69/7,569.51 = 4,370.68/x
  3. Step 3: Cross multiply
    5,489.69x = 7,569.51 × 4,370.68
  4. Step 4: Simplify right side
    5,489.69x = 33,083,870.65
  5. Step 5: Solve for x
    x = 33,083,870.65/5,489.69
  6. Step 6: Final answer
    x = 6,026.54

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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.