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Finding the Fourth Proportional to 3,291.64, 4,933.49 and 2,417.86

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Solution

The fourth proportional to 3,291.64, 4,933.49 and 2,417.86 is: 3,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.64 : 4,933.49 = 2,417.86 : x
  2. Step 2: Convert to fraction form
    3,291.64/4,933.49 = 2,417.86/x
  3. Step 3: Cross multiply
    3,291.64x = 4,933.49 × 2,417.86
  4. Step 4: Simplify right side
    3,291.64x = 11,928,468.06
  5. Step 5: Solve for x
    x = 11,928,468.06/3,291.64
  6. Step 6: Final answer
    x = 3,623.86

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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.