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Finding the Fourth Proportional to 3,662.32, 5,498.95 and 3,607.65

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Solution

The fourth proportional to 3,662.32, 5,498.95 and 3,607.65 is: 5,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.32 : 5,498.95 = 3,607.65 : x
  2. Step 2: Convert to fraction form
    3,662.32/5,498.95 = 3,607.65/x
  3. Step 3: Cross multiply
    3,662.32x = 5,498.95 × 3,607.65
  4. Step 4: Simplify right side
    3,662.32x = 19,838,286.97
  5. Step 5: Solve for x
    x = 19,838,286.97/3,662.32
  6. Step 6: Final answer
    x = 5,416.86

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1.5x scale

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.