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Finding the Fourth Proportional to 3,494.11, 4,823.86 and 2,316.77

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Solution

The fourth proportional to 3,494.11, 4,823.86 and 2,316.77 is: 3,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.11 : 4,823.86 = 2,316.77 : x
  2. Step 2: Convert to fraction form
    3,494.11/4,823.86 = 2,316.77/x
  3. Step 3: Cross multiply
    3,494.11x = 4,823.86 × 2,316.77
  4. Step 4: Simplify right side
    3,494.11x = 11,175,774.13
  5. Step 5: Solve for x
    x = 11,175,774.13/3,494.11
  6. Step 6: Final answer
    x = 3,198.47

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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.