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Finding the Fourth Proportional to 3,116.66, 4,677.02 and 2,866.37

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Solution

The fourth proportional to 3,116.66, 4,677.02 and 2,866.37 is: 4,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.66 : 4,677.02 = 2,866.37 : x
  2. Step 2: Convert to fraction form
    3,116.66/4,677.02 = 2,866.37/x
  3. Step 3: Cross multiply
    3,116.66x = 4,677.02 × 2,866.37
  4. Step 4: Simplify right side
    3,116.66x = 13,406,055.49
  5. Step 5: Solve for x
    x = 13,406,055.49/3,116.66
  6. Step 6: Final answer
    x = 4,301.42

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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.