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Finding the Fourth Proportional to 4,262.40, 6,400.08 and 3,682.08

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Solution

The fourth proportional to 4,262.40, 6,400.08 and 3,682.08 is: 5,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.40 : 6,400.08 = 3,682.08 : x
  2. Step 2: Convert to fraction form
    4,262.40/6,400.08 = 3,682.08/x
  3. Step 3: Cross multiply
    4,262.40x = 6,400.08 × 3,682.08
  4. Step 4: Simplify right side
    4,262.40x = 23,565,606.57
  5. Step 5: Solve for x
    x = 23,565,606.57/4,262.40
  6. Step 6: Final answer
    x = 5,528.72

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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.