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Finding the Fourth Proportional to 3,814.70, 5,266.09 and 2,870.86

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Solution

The fourth proportional to 3,814.70, 5,266.09 and 2,870.86 is: 3,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.70 : 5,266.09 = 2,870.86 : x
  2. Step 2: Convert to fraction form
    3,814.70/5,266.09 = 2,870.86/x
  3. Step 3: Cross multiply
    3,814.70x = 5,266.09 × 2,870.86
  4. Step 4: Simplify right side
    3,814.70x = 15,118,207.14
  5. Step 5: Solve for x
    x = 15,118,207.14/3,814.70
  6. Step 6: Final answer
    x = 3,963.14

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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.