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Finding the Fourth Proportional to 3,625.55, 5,435.65 and 1,158.94

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Solution

The fourth proportional to 3,625.55, 5,435.65 and 1,158.94 is: 1,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.55 : 5,435.65 = 1,158.94 : x
  2. Step 2: Convert to fraction form
    3,625.55/5,435.65 = 1,158.94/x
  3. Step 3: Cross multiply
    3,625.55x = 5,435.65 × 1,158.94
  4. Step 4: Simplify right side
    3,625.55x = 6,299,592.21
  5. Step 5: Solve for x
    x = 6,299,592.21/3,625.55
  6. Step 6: Final answer
    x = 1,737.56

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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.