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Finding the Fourth Proportional to 5,143.90, 7,098.51 and 3,019.05

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Solution

The fourth proportional to 5,143.90, 7,098.51 and 3,019.05 is: 4,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.90 : 7,098.51 = 3,019.05 : x
  2. Step 2: Convert to fraction form
    5,143.90/7,098.51 = 3,019.05/x
  3. Step 3: Cross multiply
    5,143.90x = 7,098.51 × 3,019.05
  4. Step 4: Simplify right side
    5,143.90x = 21,430,756.62
  5. Step 5: Solve for x
    x = 21,430,756.62/5,143.90
  6. Step 6: Final answer
    x = 4,166.25

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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.