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Finding the Fourth Proportional to 4,154.69, 5,733.59 and 2,362.47

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Solution

The fourth proportional to 4,154.69, 5,733.59 and 2,362.47 is: 3,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.69 : 5,733.59 = 2,362.47 : x
  2. Step 2: Convert to fraction form
    4,154.69/5,733.59 = 2,362.47/x
  3. Step 3: Cross multiply
    4,154.69x = 5,733.59 × 2,362.47
  4. Step 4: Simplify right side
    4,154.69x = 13,545,401.05
  5. Step 5: Solve for x
    x = 13,545,401.05/4,154.69
  6. Step 6: Final answer
    x = 3,260.27

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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.