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Finding the Fourth Proportional to 5,188.24, 7,774.26 and 2,998

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Solution

The fourth proportional to 5,188.24, 7,774.26 and 2,998 is: 4,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.24 : 7,774.26 = 2,998 : x
  2. Step 2: Convert to fraction form
    5,188.24/7,774.26 = 2,998/x
  3. Step 3: Cross multiply
    5,188.24x = 7,774.26 × 2,998
  4. Step 4: Simplify right side
    5,188.24x = 23,307,231.48
  5. Step 5: Solve for x
    x = 23,307,231.48/5,188.24
  6. Step 6: Final answer
    x = 4,492.32

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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.