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Finding the Fourth Proportional to 5,179.40, 7,762.16 and 1,889.39

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Solution

The fourth proportional to 5,179.40, 7,762.16 and 1,889.39 is: 2,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.40 : 7,762.16 = 1,889.39 : x
  2. Step 2: Convert to fraction form
    5,179.40/7,762.16 = 1,889.39/x
  3. Step 3: Cross multiply
    5,179.40x = 7,762.16 × 1,889.39
  4. Step 4: Simplify right side
    5,179.40x = 14,665,699.22
  5. Step 5: Solve for x
    x = 14,665,699.22/5,179.40
  6. Step 6: Final answer
    x = 2,831.55

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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.