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Finding the Fourth Proportional to 5,642.72, 8,462.22 and 2,354.93

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Solution

The fourth proportional to 5,642.72, 8,462.22 and 2,354.93 is: 3,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.72 : 8,462.22 = 2,354.93 : x
  2. Step 2: Convert to fraction form
    5,642.72/8,462.22 = 2,354.93/x
  3. Step 3: Cross multiply
    5,642.72x = 8,462.22 × 2,354.93
  4. Step 4: Simplify right side
    5,642.72x = 19,927,935.74
  5. Step 5: Solve for x
    x = 19,927,935.74/5,642.72
  6. Step 6: Final answer
    x = 3,531.62

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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.