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Finding the Fourth Proportional to 5,497.23, 7,584.93 and 3,139.32

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Solution

The fourth proportional to 5,497.23, 7,584.93 and 3,139.32 is: 4,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.23 : 7,584.93 = 3,139.32 : x
  2. Step 2: Convert to fraction form
    5,497.23/7,584.93 = 3,139.32/x
  3. Step 3: Cross multiply
    5,497.23x = 7,584.93 × 3,139.32
  4. Step 4: Simplify right side
    5,497.23x = 23,811,522.45
  5. Step 5: Solve for x
    x = 23,811,522.45/5,497.23
  6. Step 6: Final answer
    x = 4,331.55

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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.