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Finding the Fourth Proportional to 5,584.14, 7,700.54 and 4,322.16

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Solution

The fourth proportional to 5,584.14, 7,700.54 and 4,322.16 is: 5,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.14 : 7,700.54 = 4,322.16 : x
  2. Step 2: Convert to fraction form
    5,584.14/7,700.54 = 4,322.16/x
  3. Step 3: Cross multiply
    5,584.14x = 7,700.54 × 4,322.16
  4. Step 4: Simplify right side
    5,584.14x = 33,282,965.97
  5. Step 5: Solve for x
    x = 33,282,965.97/5,584.14
  6. Step 6: Final answer
    x = 5,960.27

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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.