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Finding the Fourth Proportional to 3,697.41, 5,546.15 and 1,357.46

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Solution

The fourth proportional to 3,697.41, 5,546.15 and 1,357.46 is: 2,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.41 : 5,546.15 = 1,357.46 : x
  2. Step 2: Convert to fraction form
    3,697.41/5,546.15 = 1,357.46/x
  3. Step 3: Cross multiply
    3,697.41x = 5,546.15 × 1,357.46
  4. Step 4: Simplify right side
    3,697.41x = 7,528,675.79
  5. Step 5: Solve for x
    x = 7,528,675.79/3,697.41
  6. Step 6: Final answer
    x = 2,036.20

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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.