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Finding the Fourth Proportional to 4,116, 5,680.08 and 2,253

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Solution

The fourth proportional to 4,116, 5,680.08 and 2,253 is: 3,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 5,680.08 = 2,253 : x
  2. Step 2: Convert to fraction form
    4,116/5,680.08 = 2,253/x
  3. Step 3: Cross multiply
    4,116x = 5,680.08 × 2,253
  4. Step 4: Simplify right side
    4,116x = 12,797,220.24
  5. Step 5: Solve for x
    x = 12,797,220.24/4,116
  6. Step 6: Final answer
    x = 3,109.14

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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.