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Finding the Fourth Proportional to 5,378.31, 7,421.41 and 3,019.95

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Solution

The fourth proportional to 5,378.31, 7,421.41 and 3,019.95 is: 4,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.31 : 7,421.41 = 3,019.95 : x
  2. Step 2: Convert to fraction form
    5,378.31/7,421.41 = 3,019.95/x
  3. Step 3: Cross multiply
    5,378.31x = 7,421.41 × 3,019.95
  4. Step 4: Simplify right side
    5,378.31x = 22,412,287.13
  5. Step 5: Solve for x
    x = 22,412,287.13/5,378.31
  6. Step 6: Final answer
    x = 4,167.16

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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.