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Finding the Fourth Proportional to 3,496.19, 5,243.25 and 1,030.96

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Solution

The fourth proportional to 3,496.19, 5,243.25 and 1,030.96 is: 1,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.19 : 5,243.25 = 1,030.96 : x
  2. Step 2: Convert to fraction form
    3,496.19/5,243.25 = 1,030.96/x
  3. Step 3: Cross multiply
    3,496.19x = 5,243.25 × 1,030.96
  4. Step 4: Simplify right side
    3,496.19x = 5,405,581.02
  5. Step 5: Solve for x
    x = 5,405,581.02/3,496.19
  6. Step 6: Final answer
    x = 1,546.13

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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.