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Finding the Fourth Proportional to 5,069.94, 7,592.56 and 2,872

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Solution

The fourth proportional to 5,069.94, 7,592.56 and 2,872 is: 4,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.94 : 7,592.56 = 2,872 : x
  2. Step 2: Convert to fraction form
    5,069.94/7,592.56 = 2,872/x
  3. Step 3: Cross multiply
    5,069.94x = 7,592.56 × 2,872
  4. Step 4: Simplify right side
    5,069.94x = 21,805,832.32
  5. Step 5: Solve for x
    x = 21,805,832.32/5,069.94
  6. Step 6: Final answer
    x = 4,301.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.