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Finding the Fourth Proportional to 5,496.91, 7,585.74 and 2,979

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Solution

The fourth proportional to 5,496.91, 7,585.74 and 2,979 is: 4,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.91 : 7,585.74 = 2,979 : x
  2. Step 2: Convert to fraction form
    5,496.91/7,585.74 = 2,979/x
  3. Step 3: Cross multiply
    5,496.91x = 7,585.74 × 2,979
  4. Step 4: Simplify right side
    5,496.91x = 22,597,919.46
  5. Step 5: Solve for x
    x = 22,597,919.46/5,496.91
  6. Step 6: Final answer
    x = 4,111.02

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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.