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Finding the Fourth Proportional to 5,100.52, 7,038.21 and 3,111.57

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Solution

The fourth proportional to 5,100.52, 7,038.21 and 3,111.57 is: 4,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.52 : 7,038.21 = 3,111.57 : x
  2. Step 2: Convert to fraction form
    5,100.52/7,038.21 = 3,111.57/x
  3. Step 3: Cross multiply
    5,100.52x = 7,038.21 × 3,111.57
  4. Step 4: Simplify right side
    5,100.52x = 21,899,847.90
  5. Step 5: Solve for x
    x = 21,899,847.90/5,100.52
  6. Step 6: Final answer
    x = 4,293.65

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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.