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Finding the Fourth Proportional to 2,967.88, 4,474.36 and 2,809.12

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Solution

The fourth proportional to 2,967.88, 4,474.36 and 2,809.12 is: 4,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.88 : 4,474.36 = 2,809.12 : x
  2. Step 2: Convert to fraction form
    2,967.88/4,474.36 = 2,809.12/x
  3. Step 3: Cross multiply
    2,967.88x = 4,474.36 × 2,809.12
  4. Step 4: Simplify right side
    2,967.88x = 12,569,014.16
  5. Step 5: Solve for x
    x = 12,569,014.16/2,967.88
  6. Step 6: Final answer
    x = 4,235.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.