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Finding the Fourth Proportional to 3,495.40, 5,243.10 and 1,030.30

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Solution

The fourth proportional to 3,495.40, 5,243.10 and 1,030.30 is: 1,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.40 : 5,243.10 = 1,030.30 : x
  2. Step 2: Convert to fraction form
    3,495.40/5,243.10 = 1,030.30/x
  3. Step 3: Cross multiply
    3,495.40x = 5,243.10 × 1,030.30
  4. Step 4: Simplify right side
    3,495.40x = 5,401,965.93
  5. Step 5: Solve for x
    x = 5,401,965.93/3,495.40
  6. Step 6: Final answer
    x = 1,545.45

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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.