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Finding the Fourth Proportional to 3,506.98, 5,259.70 and 1,426.44

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Solution

The fourth proportional to 3,506.98, 5,259.70 and 1,426.44 is: 2,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.98 : 5,259.70 = 1,426.44 : x
  2. Step 2: Convert to fraction form
    3,506.98/5,259.70 = 1,426.44/x
  3. Step 3: Cross multiply
    3,506.98x = 5,259.70 × 1,426.44
  4. Step 4: Simplify right side
    3,506.98x = 7,502,613.04
  5. Step 5: Solve for x
    x = 7,502,613.04/3,506.98
  6. Step 6: Final answer
    x = 2,139.34

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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.