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Finding the Fourth Proportional to 4,201.57, 6,294.16 and 3,088.94

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Solution

The fourth proportional to 4,201.57, 6,294.16 and 3,088.94 is: 4,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.57 : 6,294.16 = 3,088.94 : x
  2. Step 2: Convert to fraction form
    4,201.57/6,294.16 = 3,088.94/x
  3. Step 3: Cross multiply
    4,201.57x = 6,294.16 × 3,088.94
  4. Step 4: Simplify right side
    4,201.57x = 19,442,237.61
  5. Step 5: Solve for x
    x = 19,442,237.61/4,201.57
  6. Step 6: Final answer
    x = 4,627.37

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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.