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Finding the Fourth Proportional to 5,266.34, 7,903 and 2,802.94

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Solution

The fourth proportional to 5,266.34, 7,903 and 2,802.94 is: 4,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.34 : 7,903 = 2,802.94 : x
  2. Step 2: Convert to fraction form
    5,266.34/7,903 = 2,802.94/x
  3. Step 3: Cross multiply
    5,266.34x = 7,903 × 2,802.94
  4. Step 4: Simplify right side
    5,266.34x = 22,151,634.82
  5. Step 5: Solve for x
    x = 22,151,634.82/5,266.34
  6. Step 6: Final answer
    x = 4,206.27

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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.