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Finding the Fourth Proportional to 5,428.02, 7,490.94 and 3,190.02

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Solution

The fourth proportional to 5,428.02, 7,490.94 and 3,190.02 is: 4,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.02 : 7,490.94 = 3,190.02 : x
  2. Step 2: Convert to fraction form
    5,428.02/7,490.94 = 3,190.02/x
  3. Step 3: Cross multiply
    5,428.02x = 7,490.94 × 3,190.02
  4. Step 4: Simplify right side
    5,428.02x = 23,896,248.42
  5. Step 5: Solve for x
    x = 23,896,248.42/5,428.02
  6. Step 6: Final answer
    x = 4,402.39

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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.