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Finding the Fourth Proportional to 4,679.98, 6,458.11 and 2,911.57

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Solution

The fourth proportional to 4,679.98, 6,458.11 and 2,911.57 is: 4,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.98 : 6,458.11 = 2,911.57 : x
  2. Step 2: Convert to fraction form
    4,679.98/6,458.11 = 2,911.57/x
  3. Step 3: Cross multiply
    4,679.98x = 6,458.11 × 2,911.57
  4. Step 4: Simplify right side
    4,679.98x = 18,803,239.33
  5. Step 5: Solve for x
    x = 18,803,239.33/4,679.98
  6. Step 6: Final answer
    x = 4,017.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.