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Finding the Fourth Proportional to 5,190, 7,157.07 and 3,398.01

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Solution

The fourth proportional to 5,190, 7,157.07 and 3,398.01 is: 4,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190 : 7,157.07 = 3,398.01 : x
  2. Step 2: Convert to fraction form
    5,190/7,157.07 = 3,398.01/x
  3. Step 3: Cross multiply
    5,190x = 7,157.07 × 3,398.01
  4. Step 4: Simplify right side
    5,190x = 24,319,795.43
  5. Step 5: Solve for x
    x = 24,319,795.43/5,190
  6. Step 6: Final answer
    x = 4,685.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.