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Finding the Fourth Proportional to 4,682.61, 7,012.86 and 2,456.12

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Solution

The fourth proportional to 4,682.61, 7,012.86 and 2,456.12 is: 3,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.61 : 7,012.86 = 2,456.12 : x
  2. Step 2: Convert to fraction form
    4,682.61/7,012.86 = 2,456.12/x
  3. Step 3: Cross multiply
    4,682.61x = 7,012.86 × 2,456.12
  4. Step 4: Simplify right side
    4,682.61x = 17,224,425.70
  5. Step 5: Solve for x
    x = 17,224,425.70/4,682.61
  6. Step 6: Final answer
    x = 3,678.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.