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Finding the Fourth Proportional to 3,534.72, 5,299.03 and 1,345.02

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Solution

The fourth proportional to 3,534.72, 5,299.03 and 1,345.02 is: 2,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.72 : 5,299.03 = 1,345.02 : x
  2. Step 2: Convert to fraction form
    3,534.72/5,299.03 = 1,345.02/x
  3. Step 3: Cross multiply
    3,534.72x = 5,299.03 × 1,345.02
  4. Step 4: Simplify right side
    3,534.72x = 7,127,301.33
  5. Step 5: Solve for x
    x = 7,127,301.33/3,534.72
  6. Step 6: Final answer
    x = 2,016.37

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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.