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Finding the Fourth Proportional to 4,076, 5,625 and 2,213.12

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Solution

The fourth proportional to 4,076, 5,625 and 2,213.12 is: 3,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076 : 5,625 = 2,213.12 : x
  2. Step 2: Convert to fraction form
    4,076/5,625 = 2,213.12/x
  3. Step 3: Cross multiply
    4,076x = 5,625 × 2,213.12
  4. Step 4: Simplify right side
    4,076x = 12,448,800
  5. Step 5: Solve for x
    x = 12,448,800/4,076
  6. Step 6: Final answer
    x = 3,054.17

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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.