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Finding the Fourth Proportional to 3,729.58, 5,595.04 and 1,537.11

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Solution

The fourth proportional to 3,729.58, 5,595.04 and 1,537.11 is: 2,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.58 : 5,595.04 = 1,537.11 : x
  2. Step 2: Convert to fraction form
    3,729.58/5,595.04 = 1,537.11/x
  3. Step 3: Cross multiply
    3,729.58x = 5,595.04 × 1,537.11
  4. Step 4: Simplify right side
    3,729.58x = 8,600,191.93
  5. Step 5: Solve for x
    x = 8,600,191.93/3,729.58
  6. Step 6: Final answer
    x = 2,305.94

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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.