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Finding the Fourth Proportional to 3,534.72, 5,303.30 and 1,343.78

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Solution

The fourth proportional to 3,534.72, 5,303.30 and 1,343.78 is: 2,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.72 : 5,303.30 = 1,343.78 : x
  2. Step 2: Convert to fraction form
    3,534.72/5,303.30 = 1,343.78/x
  3. Step 3: Cross multiply
    3,534.72x = 5,303.30 × 1,343.78
  4. Step 4: Simplify right side
    3,534.72x = 7,126,435.24
  5. Step 5: Solve for x
    x = 7,126,435.24/3,534.72
  6. Step 6: Final answer
    x = 2,016.12

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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.