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Finding the Fourth Proportional to 3,466.98, 4,777.47 and 2,942.10

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Solution

The fourth proportional to 3,466.98, 4,777.47 and 2,942.10 is: 4,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.98 : 4,777.47 = 2,942.10 : x
  2. Step 2: Convert to fraction form
    3,466.98/4,777.47 = 2,942.10/x
  3. Step 3: Cross multiply
    3,466.98x = 4,777.47 × 2,942.10
  4. Step 4: Simplify right side
    3,466.98x = 14,055,794.49
  5. Step 5: Solve for x
    x = 14,055,794.49/3,466.98
  6. Step 6: Final answer
    x = 4,054.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.