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Finding the Fourth Proportional to 5,263.42, 7,263.66 and 2,905.42

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Solution

The fourth proportional to 5,263.42, 7,263.66 and 2,905.42 is: 4,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.42 : 7,263.66 = 2,905.42 : x
  2. Step 2: Convert to fraction form
    5,263.42/7,263.66 = 2,905.42/x
  3. Step 3: Cross multiply
    5,263.42x = 7,263.66 × 2,905.42
  4. Step 4: Simplify right side
    5,263.42x = 21,103,983.04
  5. Step 5: Solve for x
    x = 21,103,983.04/5,263.42
  6. Step 6: Final answer
    x = 4,009.56

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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.