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Finding the Fourth Proportional to 4,070, 5,617.44 and 2,301.68

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Solution

The fourth proportional to 4,070, 5,617.44 and 2,301.68 is: 3,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070 : 5,617.44 = 2,301.68 : x
  2. Step 2: Convert to fraction form
    4,070/5,617.44 = 2,301.68/x
  3. Step 3: Cross multiply
    4,070x = 5,617.44 × 2,301.68
  4. Step 4: Simplify right side
    4,070x = 12,929,549.30
  5. Step 5: Solve for x
    x = 12,929,549.30/4,070
  6. Step 6: Final answer
    x = 3,176.79

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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.