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Finding the Fourth Proportional to 3,506.79, 5,262.19 and 1,426.41

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Solution

The fourth proportional to 3,506.79, 5,262.19 and 1,426.41 is: 2,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.79 : 5,262.19 = 1,426.41 : x
  2. Step 2: Convert to fraction form
    3,506.79/5,262.19 = 1,426.41/x
  3. Step 3: Cross multiply
    3,506.79x = 5,262.19 × 1,426.41
  4. Step 4: Simplify right side
    3,506.79x = 7,506,014.13
  5. Step 5: Solve for x
    x = 7,506,014.13/3,506.79
  6. Step 6: Final answer
    x = 2,140.43

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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.