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Finding the Fourth Proportional to 4,924.74, 6,798.96 and 4,644.48

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Solution

The fourth proportional to 4,924.74, 6,798.96 and 4,644.48 is: 6,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.74 : 6,798.96 = 4,644.48 : x
  2. Step 2: Convert to fraction form
    4,924.74/6,798.96 = 4,644.48/x
  3. Step 3: Cross multiply
    4,924.74x = 6,798.96 × 4,644.48
  4. Step 4: Simplify right side
    4,924.74x = 31,577,633.74
  5. Step 5: Solve for x
    x = 31,577,633.74/4,924.74
  6. Step 6: Final answer
    x = 6,412.04

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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.