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Finding the Fourth Proportional to 3,506.09, 5,259.14 and 1,427.23

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Solution

The fourth proportional to 3,506.09, 5,259.14 and 1,427.23 is: 2,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.09 : 5,259.14 = 1,427.23 : x
  2. Step 2: Convert to fraction form
    3,506.09/5,259.14 = 1,427.23/x
  3. Step 3: Cross multiply
    3,506.09x = 5,259.14 × 1,427.23
  4. Step 4: Simplify right side
    3,506.09x = 7,506,002.38
  5. Step 5: Solve for x
    x = 7,506,002.38/3,506.09
  6. Step 6: Final answer
    x = 2,140.85

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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.