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Finding the Fourth Proportional to 4,057.70, 5,598.72 and 2,288.66

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Solution

The fourth proportional to 4,057.70, 5,598.72 and 2,288.66 is: 3,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.70 : 5,598.72 = 2,288.66 : x
  2. Step 2: Convert to fraction form
    4,057.70/5,598.72 = 2,288.66/x
  3. Step 3: Cross multiply
    4,057.70x = 5,598.72 × 2,288.66
  4. Step 4: Simplify right side
    4,057.70x = 12,813,538.52
  5. Step 5: Solve for x
    x = 12,813,538.52/4,057.70
  6. Step 6: Final answer
    x = 3,157.84

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