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Finding the Fourth Proportional to 3,407.58, 5,139.69 and 3,001.80

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Solution

The fourth proportional to 3,407.58, 5,139.69 and 3,001.80 is: 4,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.58 : 5,139.69 = 3,001.80 : x
  2. Step 2: Convert to fraction form
    3,407.58/5,139.69 = 3,001.80/x
  3. Step 3: Cross multiply
    3,407.58x = 5,139.69 × 3,001.80
  4. Step 4: Simplify right side
    3,407.58x = 15,428,321.44
  5. Step 5: Solve for x
    x = 15,428,321.44/3,407.58
  6. Step 6: Final answer
    x = 4,527.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.