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Finding the Fourth Proportional to 4,007.42, 6,005.32 and 3,657.19

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Solution

The fourth proportional to 4,007.42, 6,005.32 and 3,657.19 is: 5,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.42 : 6,005.32 = 3,657.19 : x
  2. Step 2: Convert to fraction form
    4,007.42/6,005.32 = 3,657.19/x
  3. Step 3: Cross multiply
    4,007.42x = 6,005.32 × 3,657.19
  4. Step 4: Simplify right side
    4,007.42x = 21,962,596.25
  5. Step 5: Solve for x
    x = 21,962,596.25/4,007.42
  6. Step 6: Final answer
    x = 5,480.48

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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.