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Finding the Fourth Proportional to 3,592, 4,957.14 and 2,194.84

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Solution

The fourth proportional to 3,592, 4,957.14 and 2,194.84 is: 3,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592 : 4,957.14 = 2,194.84 : x
  2. Step 2: Convert to fraction form
    3,592/4,957.14 = 2,194.84/x
  3. Step 3: Cross multiply
    3,592x = 4,957.14 × 2,194.84
  4. Step 4: Simplify right side
    3,592x = 10,880,129.16
  5. Step 5: Solve for x
    x = 10,880,129.16/3,592
  6. Step 6: Final answer
    x = 3,028.99

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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.