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Finding the Fourth Proportional to 5,565.92, 7,681.34 and 3,208.22

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Solution

The fourth proportional to 5,565.92, 7,681.34 and 3,208.22 is: 4,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.92 : 7,681.34 = 3,208.22 : x
  2. Step 2: Convert to fraction form
    5,565.92/7,681.34 = 3,208.22/x
  3. Step 3: Cross multiply
    5,565.92x = 7,681.34 × 3,208.22
  4. Step 4: Simplify right side
    5,565.92x = 24,643,374.17
  5. Step 5: Solve for x
    x = 24,643,374.17/5,565.92
  6. Step 6: Final answer
    x = 4,427.55

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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.