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Finding the Fourth Proportional to 4,927.34, 6,802.24 and 3,805.76

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Solution

The fourth proportional to 4,927.34, 6,802.24 and 3,805.76 is: 5,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.34 : 6,802.24 = 3,805.76 : x
  2. Step 2: Convert to fraction form
    4,927.34/6,802.24 = 3,805.76/x
  3. Step 3: Cross multiply
    4,927.34x = 6,802.24 × 3,805.76
  4. Step 4: Simplify right side
    4,927.34x = 25,887,692.90
  5. Step 5: Solve for x
    x = 25,887,692.90/4,927.34
  6. Step 6: Final answer
    x = 5,253.89

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