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Finding the Fourth Proportional to 4,057.74, 5,600.25 and 2,289.51

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Solution

The fourth proportional to 4,057.74, 5,600.25 and 2,289.51 is: 3,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.74 : 5,600.25 = 2,289.51 : x
  2. Step 2: Convert to fraction form
    4,057.74/5,600.25 = 2,289.51/x
  3. Step 3: Cross multiply
    4,057.74x = 5,600.25 × 2,289.51
  4. Step 4: Simplify right side
    4,057.74x = 12,821,828.38
  5. Step 5: Solve for x
    x = 12,821,828.38/4,057.74
  6. Step 6: Final answer
    x = 3,159.84

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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.