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Finding the Fourth Proportional to 5,122.26, 7,697.84 and 3,042.63

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Solution

The fourth proportional to 5,122.26, 7,697.84 and 3,042.63 is: 4,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.26 : 7,697.84 = 3,042.63 : x
  2. Step 2: Convert to fraction form
    5,122.26/7,697.84 = 3,042.63/x
  3. Step 3: Cross multiply
    5,122.26x = 7,697.84 × 3,042.63
  4. Step 4: Simplify right side
    5,122.26x = 23,421,663.71
  5. Step 5: Solve for x
    x = 23,421,663.71/5,122.26
  6. Step 6: Final answer
    x = 4,572.53

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