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Finding the Fourth Proportional to 4,658.73, 6,978.51 and 2,462.82

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Solution

The fourth proportional to 4,658.73, 6,978.51 and 2,462.82 is: 3,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.73 : 6,978.51 = 2,462.82 : x
  2. Step 2: Convert to fraction form
    4,658.73/6,978.51 = 2,462.82/x
  3. Step 3: Cross multiply
    4,658.73x = 6,978.51 × 2,462.82
  4. Step 4: Simplify right side
    4,658.73x = 17,186,814.00
  5. Step 5: Solve for x
    x = 17,186,814.00/4,658.73
  6. Step 6: Final answer
    x = 3,689.16

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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.