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Finding the Fourth Proportional to 3,407.70, 4,700.25 and 2,010.72

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Solution

The fourth proportional to 3,407.70, 4,700.25 and 2,010.72 is: 2,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.70 : 4,700.25 = 2,010.72 : x
  2. Step 2: Convert to fraction form
    3,407.70/4,700.25 = 2,010.72/x
  3. Step 3: Cross multiply
    3,407.70x = 4,700.25 × 2,010.72
  4. Step 4: Simplify right side
    3,407.70x = 9,450,886.68
  5. Step 5: Solve for x
    x = 9,450,886.68/3,407.70
  6. Step 6: Final answer
    x = 2,773.39

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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.