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Finding the Fourth Proportional to 3,022.62, 4,525.02 and 2,948.10

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Solution

The fourth proportional to 3,022.62, 4,525.02 and 2,948.10 is: 4,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.62 : 4,525.02 = 2,948.10 : x
  2. Step 2: Convert to fraction form
    3,022.62/4,525.02 = 2,948.10/x
  3. Step 3: Cross multiply
    3,022.62x = 4,525.02 × 2,948.10
  4. Step 4: Simplify right side
    3,022.62x = 13,340,211.46
  5. Step 5: Solve for x
    x = 13,340,211.46/3,022.62
  6. Step 6: Final answer
    x = 4,413.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.