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Finding the Fourth Proportional to 4,616.64, 6,927.72 and 1,695.24

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Solution

The fourth proportional to 4,616.64, 6,927.72 and 1,695.24 is: 2,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.64 : 6,927.72 = 1,695.24 : x
  2. Step 2: Convert to fraction form
    4,616.64/6,927.72 = 1,695.24/x
  3. Step 3: Cross multiply
    4,616.64x = 6,927.72 × 1,695.24
  4. Step 4: Simplify right side
    4,616.64x = 11,744,148.05
  5. Step 5: Solve for x
    x = 11,744,148.05/4,616.64
  6. Step 6: Final answer
    x = 2,543.87

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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.