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Finding the Fourth Proportional to 3,441.42, 5,161.37 and 975.69

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Solution

The fourth proportional to 3,441.42, 5,161.37 and 975.69 is: 1,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.42 : 5,161.37 = 975.69 : x
  2. Step 2: Convert to fraction form
    3,441.42/5,161.37 = 975.69/x
  3. Step 3: Cross multiply
    3,441.42x = 5,161.37 × 975.69
  4. Step 4: Simplify right side
    3,441.42x = 5,035,892.22
  5. Step 5: Solve for x
    x = 5,035,892.22/3,441.42
  6. Step 6: Final answer
    x = 1,463.32

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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.