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Finding the Fourth Proportional to 3,466.01, 5,199.05 and 868.95

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Solution

The fourth proportional to 3,466.01, 5,199.05 and 868.95 is: 1,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.01 : 5,199.05 = 868.95 : x
  2. Step 2: Convert to fraction form
    3,466.01/5,199.05 = 868.95/x
  3. Step 3: Cross multiply
    3,466.01x = 5,199.05 × 868.95
  4. Step 4: Simplify right side
    3,466.01x = 4,517,710.15
  5. Step 5: Solve for x
    x = 4,517,710.15/3,466.01
  6. Step 6: Final answer
    x = 1,303.43

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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.