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Finding the Fourth Proportional to 5,593.79, 7,719.62 and 3,076

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Solution

The fourth proportional to 5,593.79, 7,719.62 and 3,076 is: 4,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,593.79 : 7,719.62 = 3,076 : x
  2. Step 2: Convert to fraction form
    5,593.79/7,719.62 = 3,076/x
  3. Step 3: Cross multiply
    5,593.79x = 7,719.62 × 3,076
  4. Step 4: Simplify right side
    5,593.79x = 23,745,551.12
  5. Step 5: Solve for x
    x = 23,745,551.12/5,593.79
  6. Step 6: Final answer
    x = 4,244.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.