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Finding the Fourth Proportional to 3,047, 4,571.10 and 967.32

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Solution

The fourth proportional to 3,047, 4,571.10 and 967.32 is: 1,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047 : 4,571.10 = 967.32 : x
  2. Step 2: Convert to fraction form
    3,047/4,571.10 = 967.32/x
  3. Step 3: Cross multiply
    3,047x = 4,571.10 × 967.32
  4. Step 4: Simplify right side
    3,047x = 4,421,716.45
  5. Step 5: Solve for x
    x = 4,421,716.45/3,047
  6. Step 6: Final answer
    x = 1,451.17

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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.