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Finding the Fourth Proportional to 5,374.86, 8,061.63 and 3,406.56

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Solution

The fourth proportional to 5,374.86, 8,061.63 and 3,406.56 is: 5,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.86 : 8,061.63 = 3,406.56 : x
  2. Step 2: Convert to fraction form
    5,374.86/8,061.63 = 3,406.56/x
  3. Step 3: Cross multiply
    5,374.86x = 8,061.63 × 3,406.56
  4. Step 4: Simplify right side
    5,374.86x = 27,462,426.29
  5. Step 5: Solve for x
    x = 27,462,426.29/5,374.86
  6. Step 6: Final answer
    x = 5,109.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.