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Finding the Fourth Proportional to 3,887.34, 5,364.64 and 2,208.80

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Solution

The fourth proportional to 3,887.34, 5,364.64 and 2,208.80 is: 3,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.34 : 5,364.64 = 2,208.80 : x
  2. Step 2: Convert to fraction form
    3,887.34/5,364.64 = 2,208.80/x
  3. Step 3: Cross multiply
    3,887.34x = 5,364.64 × 2,208.80
  4. Step 4: Simplify right side
    3,887.34x = 11,849,416.83
  5. Step 5: Solve for x
    x = 11,849,416.83/3,887.34
  6. Step 6: Final answer
    x = 3,048.21

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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.