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Finding the Fourth Proportional to 6,403.55, 8,836.24 and 4,165.57

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Solution

The fourth proportional to 6,403.55, 8,836.24 and 4,165.57 is: 5,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.55 : 8,836.24 = 4,165.57 : x
  2. Step 2: Convert to fraction form
    6,403.55/8,836.24 = 4,165.57/x
  3. Step 3: Cross multiply
    6,403.55x = 8,836.24 × 4,165.57
  4. Step 4: Simplify right side
    6,403.55x = 36,807,976.26
  5. Step 5: Solve for x
    x = 36,807,976.26/6,403.55
  6. Step 6: Final answer
    x = 5,748.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.