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Finding the Fourth Proportional to 3,617.85, 5,426.72 and 1,152.64

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Solution

The fourth proportional to 3,617.85, 5,426.72 and 1,152.64 is: 1,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.85 : 5,426.72 = 1,152.64 : x
  2. Step 2: Convert to fraction form
    3,617.85/5,426.72 = 1,152.64/x
  3. Step 3: Cross multiply
    3,617.85x = 5,426.72 × 1,152.64
  4. Step 4: Simplify right side
    3,617.85x = 6,255,054.54
  5. Step 5: Solve for x
    x = 6,255,054.54/3,617.85
  6. Step 6: Final answer
    x = 1,728.94

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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.