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Finding the Fourth Proportional to 3,755.58, 5,633.44 and 1,158.50

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Solution

The fourth proportional to 3,755.58, 5,633.44 and 1,158.50 is: 1,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.58 : 5,633.44 = 1,158.50 : x
  2. Step 2: Convert to fraction form
    3,755.58/5,633.44 = 1,158.50/x
  3. Step 3: Cross multiply
    3,755.58x = 5,633.44 × 1,158.50
  4. Step 4: Simplify right side
    3,755.58x = 6,526,340.24
  5. Step 5: Solve for x
    x = 6,526,340.24/3,755.58
  6. Step 6: Final answer
    x = 1,737.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.