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Finding the Fourth Proportional to 4,237.74, 6,357.57 and 1,641.42

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Solution

The fourth proportional to 4,237.74, 6,357.57 and 1,641.42 is: 2,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.74 : 6,357.57 = 1,641.42 : x
  2. Step 2: Convert to fraction form
    4,237.74/6,357.57 = 1,641.42/x
  3. Step 3: Cross multiply
    4,237.74x = 6,357.57 × 1,641.42
  4. Step 4: Simplify right side
    4,237.74x = 10,435,442.55
  5. Step 5: Solve for x
    x = 10,435,442.55/4,237.74
  6. Step 6: Final answer
    x = 2,462.50

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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.