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Finding the Fourth Proportional to 3,881.59, 5,356.73 and 2,289.33

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Solution

The fourth proportional to 3,881.59, 5,356.73 and 2,289.33 is: 3,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.59 : 5,356.73 = 2,289.33 : x
  2. Step 2: Convert to fraction form
    3,881.59/5,356.73 = 2,289.33/x
  3. Step 3: Cross multiply
    3,881.59x = 5,356.73 × 2,289.33
  4. Step 4: Simplify right side
    3,881.59x = 12,263,328.41
  5. Step 5: Solve for x
    x = 12,263,328.41/3,881.59
  6. Step 6: Final answer
    x = 3,159.36

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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.