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Finding the Fourth Proportional to 3,745.76, 5,619.90 and 2,357.48

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Solution

The fourth proportional to 3,745.76, 5,619.90 and 2,357.48 is: 3,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.76 : 5,619.90 = 2,357.48 : x
  2. Step 2: Convert to fraction form
    3,745.76/5,619.90 = 2,357.48/x
  3. Step 3: Cross multiply
    3,745.76x = 5,619.90 × 2,357.48
  4. Step 4: Simplify right side
    3,745.76x = 13,248,801.85
  5. Step 5: Solve for x
    x = 13,248,801.85/3,745.76
  6. Step 6: Final answer
    x = 3,537.01

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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.