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Finding the Fourth Proportional to 5,322.12, 7,344 and 2,964.48

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Solution

The fourth proportional to 5,322.12, 7,344 and 2,964.48 is: 4,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.12 : 7,344 = 2,964.48 : x
  2. Step 2: Convert to fraction form
    5,322.12/7,344 = 2,964.48/x
  3. Step 3: Cross multiply
    5,322.12x = 7,344 × 2,964.48
  4. Step 4: Simplify right side
    5,322.12x = 21,771,141.12
  5. Step 5: Solve for x
    x = 21,771,141.12/5,322.12
  6. Step 6: Final answer
    x = 4,090.69

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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.