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Finding the Fourth Proportional to 4,616.63, 6,927.71 and 1,695.23

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Solution

The fourth proportional to 4,616.63, 6,927.71 and 1,695.23 is: 2,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.63 : 6,927.71 = 1,695.23 : x
  2. Step 2: Convert to fraction form
    4,616.63/6,927.71 = 1,695.23/x
  3. Step 3: Cross multiply
    4,616.63x = 6,927.71 × 1,695.23
  4. Step 4: Simplify right side
    4,616.63x = 11,744,061.82
  5. Step 5: Solve for x
    x = 11,744,061.82/4,616.63
  6. Step 6: Final answer
    x = 2,543.86

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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.