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Finding the Fourth Proportional to 5,306.63, 7,306.43 and 4,814.56

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Solution

The fourth proportional to 5,306.63, 7,306.43 and 4,814.56 is: 6,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.63 : 7,306.43 = 4,814.56 : x
  2. Step 2: Convert to fraction form
    5,306.63/7,306.43 = 4,814.56/x
  3. Step 3: Cross multiply
    5,306.63x = 7,306.43 × 4,814.56
  4. Step 4: Simplify right side
    5,306.63x = 35,177,203.28
  5. Step 5: Solve for x
    x = 35,177,203.28/5,306.63
  6. Step 6: Final answer
    x = 6,628.91

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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.