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Finding the Fourth Proportional to 4,760.53, 7,143.14 and 3,597.64

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Solution

The fourth proportional to 4,760.53, 7,143.14 and 3,597.64 is: 5,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.53 : 7,143.14 = 3,597.64 : x
  2. Step 2: Convert to fraction form
    4,760.53/7,143.14 = 3,597.64/x
  3. Step 3: Cross multiply
    4,760.53x = 7,143.14 × 3,597.64
  4. Step 4: Simplify right side
    4,760.53x = 25,698,446.19
  5. Step 5: Solve for x
    x = 25,698,446.19/4,760.53
  6. Step 6: Final answer
    x = 5,398.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.