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Finding the Fourth Proportional to 4,728.23, 6,527.75 and 4,202.74

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Solution

The fourth proportional to 4,728.23, 6,527.75 and 4,202.74 is: 5,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.23 : 6,527.75 = 4,202.74 : x
  2. Step 2: Convert to fraction form
    4,728.23/6,527.75 = 4,202.74/x
  3. Step 3: Cross multiply
    4,728.23x = 6,527.75 × 4,202.74
  4. Step 4: Simplify right side
    4,728.23x = 27,434,398.70
  5. Step 5: Solve for x
    x = 27,434,398.70/4,728.23
  6. Step 6: Final answer
    x = 5,802.26

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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.