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Finding the Fourth Proportional to 4,463.62, 6,695.44 and 2,153.50

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Solution

The fourth proportional to 4,463.62, 6,695.44 and 2,153.50 is: 3,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.62 : 6,695.44 = 2,153.50 : x
  2. Step 2: Convert to fraction form
    4,463.62/6,695.44 = 2,153.50/x
  3. Step 3: Cross multiply
    4,463.62x = 6,695.44 × 2,153.50
  4. Step 4: Simplify right side
    4,463.62x = 14,418,630.04
  5. Step 5: Solve for x
    x = 14,418,630.04/4,463.62
  6. Step 6: Final answer
    x = 3,230.25

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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.