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Finding the Fourth Proportional to 3,608.86, 5,410 and 1,417

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Solution

The fourth proportional to 3,608.86, 5,410 and 1,417 is: 2,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.86 : 5,410 = 1,417 : x
  2. Step 2: Convert to fraction form
    3,608.86/5,410 = 1,417/x
  3. Step 3: Cross multiply
    3,608.86x = 5,410 × 1,417
  4. Step 4: Simplify right side
    3,608.86x = 7,665,970
  5. Step 5: Solve for x
    x = 7,665,970/3,608.86
  6. Step 6: Final answer
    x = 2,124.21

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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.