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Finding the Fourth Proportional to 5,411.90, 8,124.87 and 5,189.81

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Solution

The fourth proportional to 5,411.90, 8,124.87 and 5,189.81 is: 7,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.90 : 8,124.87 = 5,189.81 : x
  2. Step 2: Convert to fraction form
    5,411.90/8,124.87 = 5,189.81/x
  3. Step 3: Cross multiply
    5,411.90x = 8,124.87 × 5,189.81
  4. Step 4: Simplify right side
    5,411.90x = 42,166,551.89
  5. Step 5: Solve for x
    x = 42,166,551.89/5,411.90
  6. Step 6: Final answer
    x = 7,791.45

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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.