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Finding the Fourth Proportional to 4,129.40, 5,698.24 and 2,266.40

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Solution

The fourth proportional to 4,129.40, 5,698.24 and 2,266.40 is: 3,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.40 : 5,698.24 = 2,266.40 : x
  2. Step 2: Convert to fraction form
    4,129.40/5,698.24 = 2,266.40/x
  3. Step 3: Cross multiply
    4,129.40x = 5,698.24 × 2,266.40
  4. Step 4: Simplify right side
    4,129.40x = 12,914,491.14
  5. Step 5: Solve for x
    x = 12,914,491.14/4,129.40
  6. Step 6: Final answer
    x = 3,127.45

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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.