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Finding the Fourth Proportional to 4,057, 5,598.86 and 2,288.57

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Solution

The fourth proportional to 4,057, 5,598.86 and 2,288.57 is: 3,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057 : 5,598.86 = 2,288.57 : x
  2. Step 2: Convert to fraction form
    4,057/5,598.86 = 2,288.57/x
  3. Step 3: Cross multiply
    4,057x = 5,598.86 × 2,288.57
  4. Step 4: Simplify right side
    4,057x = 12,813,343.59
  5. Step 5: Solve for x
    x = 12,813,343.59/4,057
  6. Step 6: Final answer
    x = 3,158.33

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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.