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Finding the Fourth Proportional to 3,617.94, 5,422.77 and 1,534.89

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Solution

The fourth proportional to 3,617.94, 5,422.77 and 1,534.89 is: 2,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.94 : 5,422.77 = 1,534.89 : x
  2. Step 2: Convert to fraction form
    3,617.94/5,422.77 = 1,534.89/x
  3. Step 3: Cross multiply
    3,617.94x = 5,422.77 × 1,534.89
  4. Step 4: Simplify right side
    3,617.94x = 8,323,355.45
  5. Step 5: Solve for x
    x = 8,323,355.45/3,617.94
  6. Step 6: Final answer
    x = 2,300.58

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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.