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Finding the Fourth Proportional to 3,693.87, 5,098.68 and 2,123.01

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Solution

The fourth proportional to 3,693.87, 5,098.68 and 2,123.01 is: 2,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.87 : 5,098.68 = 2,123.01 : x
  2. Step 2: Convert to fraction form
    3,693.87/5,098.68 = 2,123.01/x
  3. Step 3: Cross multiply
    3,693.87x = 5,098.68 × 2,123.01
  4. Step 4: Simplify right side
    3,693.87x = 10,824,548.63
  5. Step 5: Solve for x
    x = 10,824,548.63/3,693.87
  6. Step 6: Final answer
    x = 2,930.41

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1.5x scale

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.