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Finding the Fourth Proportional to 4,968.25, 6,852.72 and 4,217.03

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Solution

The fourth proportional to 4,968.25, 6,852.72 and 4,217.03 is: 5,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.25 : 6,852.72 = 4,217.03 : x
  2. Step 2: Convert to fraction form
    4,968.25/6,852.72 = 4,217.03/x
  3. Step 3: Cross multiply
    4,968.25x = 6,852.72 × 4,217.03
  4. Step 4: Simplify right side
    4,968.25x = 28,898,109.35
  5. Step 5: Solve for x
    x = 28,898,109.35/4,968.25
  6. Step 6: Final answer
    x = 5,816.55

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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.