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Finding the Fourth Proportional to 4,116, 5,680.20 and 2,253.12

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Solution

The fourth proportional to 4,116, 5,680.20 and 2,253.12 is: 3,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 5,680.20 = 2,253.12 : x
  2. Step 2: Convert to fraction form
    4,116/5,680.20 = 2,253.12/x
  3. Step 3: Cross multiply
    4,116x = 5,680.20 × 2,253.12
  4. Step 4: Simplify right side
    4,116x = 12,798,172.22
  5. Step 5: Solve for x
    x = 12,798,172.22/4,116
  6. Step 6: Final answer
    x = 3,109.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.