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Finding the Fourth Proportional to 3,495.96, 5,243.22 and 1,030.26

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Solution

The fourth proportional to 3,495.96, 5,243.22 and 1,030.26 is: 1,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.96 : 5,243.22 = 1,030.26 : x
  2. Step 2: Convert to fraction form
    3,495.96/5,243.22 = 1,030.26/x
  3. Step 3: Cross multiply
    3,495.96x = 5,243.22 × 1,030.26
  4. Step 4: Simplify right side
    3,495.96x = 5,401,879.84
  5. Step 5: Solve for x
    x = 5,401,879.84/3,495.96
  6. Step 6: Final answer
    x = 1,545.18

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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.