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Finding the Fourth Proportional to 4,643.42, 6,956.02 and 2,691.53

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Solution

The fourth proportional to 4,643.42, 6,956.02 and 2,691.53 is: 4,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.42 : 6,956.02 = 2,691.53 : x
  2. Step 2: Convert to fraction form
    4,643.42/6,956.02 = 2,691.53/x
  3. Step 3: Cross multiply
    4,643.42x = 6,956.02 × 2,691.53
  4. Step 4: Simplify right side
    4,643.42x = 18,722,288.27
  5. Step 5: Solve for x
    x = 18,722,288.27/4,643.42
  6. Step 6: Final answer
    x = 4,032.00

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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.