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Finding the Fourth Proportional to 5,306.13, 7,920.36 and 4,920.63

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Solution

The fourth proportional to 5,306.13, 7,920.36 and 4,920.63 is: 7,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.13 : 7,920.36 = 4,920.63 : x
  2. Step 2: Convert to fraction form
    5,306.13/7,920.36 = 4,920.63/x
  3. Step 3: Cross multiply
    5,306.13x = 7,920.36 × 4,920.63
  4. Step 4: Simplify right side
    5,306.13x = 38,973,161.03
  5. Step 5: Solve for x
    x = 38,973,161.03/5,306.13
  6. Step 6: Final answer
    x = 7,344.93

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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.