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Finding the Fourth Proportional to 3,300.20, 4,948.06 and 1,569

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Solution

The fourth proportional to 3,300.20, 4,948.06 and 1,569 is: 2,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.20 : 4,948.06 = 1,569 : x
  2. Step 2: Convert to fraction form
    3,300.20/4,948.06 = 1,569/x
  3. Step 3: Cross multiply
    3,300.20x = 4,948.06 × 1,569
  4. Step 4: Simplify right side
    3,300.20x = 7,763,506.14
  5. Step 5: Solve for x
    x = 7,763,506.14/3,300.20
  6. Step 6: Final answer
    x = 2,352.44

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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.