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Finding the Fourth Proportional to 4,266.66, 5,876.68 and 3,707.14

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Solution

The fourth proportional to 4,266.66, 5,876.68 and 3,707.14 is: 5,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.66 : 5,876.68 = 3,707.14 : x
  2. Step 2: Convert to fraction form
    4,266.66/5,876.68 = 3,707.14/x
  3. Step 3: Cross multiply
    4,266.66x = 5,876.68 × 3,707.14
  4. Step 4: Simplify right side
    4,266.66x = 21,785,675.50
  5. Step 5: Solve for x
    x = 21,785,675.50/4,266.66
  6. Step 6: Final answer
    x = 5,106.03

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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.