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Finding the Fourth Proportional to 5,496.79, 7,585.56 and 2,978.96

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Solution

The fourth proportional to 5,496.79, 7,585.56 and 2,978.96 is: 4,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.79 : 7,585.56 = 2,978.96 : x
  2. Step 2: Convert to fraction form
    5,496.79/7,585.56 = 2,978.96/x
  3. Step 3: Cross multiply
    5,496.79x = 7,585.56 × 2,978.96
  4. Step 4: Simplify right side
    5,496.79x = 22,597,101.90
  5. Step 5: Solve for x
    x = 22,597,101.90/5,496.79
  6. Step 6: Final answer
    x = 4,110.96

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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.