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Finding the Fourth Proportional to 5,159.47, 7,738.84 and 2,388.36

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Solution

The fourth proportional to 5,159.47, 7,738.84 and 2,388.36 is: 3,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.47 : 7,738.84 = 2,388.36 : x
  2. Step 2: Convert to fraction form
    5,159.47/7,738.84 = 2,388.36/x
  3. Step 3: Cross multiply
    5,159.47x = 7,738.84 × 2,388.36
  4. Step 4: Simplify right side
    5,159.47x = 18,483,135.90
  5. Step 5: Solve for x
    x = 18,483,135.90/5,159.47
  6. Step 6: Final answer
    x = 3,582.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.