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Finding the Fourth Proportional to 4,057.69, 5,599.61 and 2,289.29

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Solution

The fourth proportional to 4,057.69, 5,599.61 and 2,289.29 is: 3,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.69 : 5,599.61 = 2,289.29 : x
  2. Step 2: Convert to fraction form
    4,057.69/5,599.61 = 2,289.29/x
  3. Step 3: Cross multiply
    4,057.69x = 5,599.61 × 2,289.29
  4. Step 4: Simplify right side
    4,057.69x = 12,819,131.18
  5. Step 5: Solve for x
    x = 12,819,131.18/4,057.69
  6. Step 6: Final answer
    x = 3,159.22

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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.