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Finding the Fourth Proportional to 4,707, 7,062.42 and 2,397.24

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Solution

The fourth proportional to 4,707, 7,062.42 and 2,397.24 is: 3,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707 : 7,062.42 = 2,397.24 : x
  2. Step 2: Convert to fraction form
    4,707/7,062.42 = 2,397.24/x
  3. Step 3: Cross multiply
    4,707x = 7,062.42 × 2,397.24
  4. Step 4: Simplify right side
    4,707x = 16,930,315.72
  5. Step 5: Solve for x
    x = 16,930,315.72/4,707
  6. Step 6: Final answer
    x = 3,596.84

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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.