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Finding the Fourth Proportional to 3,706.00, 5,114.19 and 2,112.53

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Solution

The fourth proportional to 3,706.00, 5,114.19 and 2,112.53 is: 2,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.00 : 5,114.19 = 2,112.53 : x
  2. Step 2: Convert to fraction form
    3,706.00/5,114.19 = 2,112.53/x
  3. Step 3: Cross multiply
    3,706.00x = 5,114.19 × 2,112.53
  4. Step 4: Simplify right side
    3,706.00x = 10,803,901.90
  5. Step 5: Solve for x
    x = 10,803,901.90/3,706.00
  6. Step 6: Final answer
    x = 2,915.25

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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.