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Finding the Fourth Proportional to 3,474.57, 4,797.14 and 3,100.91

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Solution

The fourth proportional to 3,474.57, 4,797.14 and 3,100.91 is: 4,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.57 : 4,797.14 = 3,100.91 : x
  2. Step 2: Convert to fraction form
    3,474.57/4,797.14 = 3,100.91/x
  3. Step 3: Cross multiply
    3,474.57x = 4,797.14 × 3,100.91
  4. Step 4: Simplify right side
    3,474.57x = 14,875,499.40
  5. Step 5: Solve for x
    x = 14,875,499.40/3,474.57
  6. Step 6: Final answer
    x = 4,281.25

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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.