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Finding the Fourth Proportional to 4,728.25, 6,524.55 and 4,569.01

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Solution

The fourth proportional to 4,728.25, 6,524.55 and 4,569.01 is: 6,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.25 : 6,524.55 = 4,569.01 : x
  2. Step 2: Convert to fraction form
    4,728.25/6,524.55 = 4,569.01/x
  3. Step 3: Cross multiply
    4,728.25x = 6,524.55 × 4,569.01
  4. Step 4: Simplify right side
    4,728.25x = 29,810,717.88
  5. Step 5: Solve for x
    x = 29,810,717.88/4,728.25
  6. Step 6: Final answer
    x = 6,304.81

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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.