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Finding the Fourth Proportional to 4,565.72, 6,300.70 and 2,469.84

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Solution

The fourth proportional to 4,565.72, 6,300.70 and 2,469.84 is: 3,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.72 : 6,300.70 = 2,469.84 : x
  2. Step 2: Convert to fraction form
    4,565.72/6,300.70 = 2,469.84/x
  3. Step 3: Cross multiply
    4,565.72x = 6,300.70 × 2,469.84
  4. Step 4: Simplify right side
    4,565.72x = 15,561,714.71
  5. Step 5: Solve for x
    x = 15,561,714.71/4,565.72
  6. Step 6: Final answer
    x = 3,408.39

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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.