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Finding the Fourth Proportional to 4,155.84, 5,735.04 and 2,292.84

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Solution

The fourth proportional to 4,155.84, 5,735.04 and 2,292.84 is: 3,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.84 : 5,735.04 = 2,292.84 : x
  2. Step 2: Convert to fraction form
    4,155.84/5,735.04 = 2,292.84/x
  3. Step 3: Cross multiply
    4,155.84x = 5,735.04 × 2,292.84
  4. Step 4: Simplify right side
    4,155.84x = 13,149,529.11
  5. Step 5: Solve for x
    x = 13,149,529.11/4,155.84
  6. Step 6: Final answer
    x = 3,164.11

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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.