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Finding the Fourth Proportional to 5,306.75, 7,904.07 and 5,029.19

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Solution

The fourth proportional to 5,306.75, 7,904.07 and 5,029.19 is: 7,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.75 : 7,904.07 = 5,029.19 : x
  2. Step 2: Convert to fraction form
    5,306.75/7,904.07 = 5,029.19/x
  3. Step 3: Cross multiply
    5,306.75x = 7,904.07 × 5,029.19
  4. Step 4: Simplify right side
    5,306.75x = 39,751,057.23
  5. Step 5: Solve for x
    x = 39,751,057.23/5,306.75
  6. Step 6: Final answer
    x = 7,490.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.