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Finding the Fourth Proportional to 4,756.27, 7,132.51 and 1,468.48

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Solution

The fourth proportional to 4,756.27, 7,132.51 and 1,468.48 is: 2,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.27 : 7,132.51 = 1,468.48 : x
  2. Step 2: Convert to fraction form
    4,756.27/7,132.51 = 1,468.48/x
  3. Step 3: Cross multiply
    4,756.27x = 7,132.51 × 1,468.48
  4. Step 4: Simplify right side
    4,756.27x = 10,473,937.40
  5. Step 5: Solve for x
    x = 10,473,937.40/4,756.27
  6. Step 6: Final answer
    x = 2,202.13

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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.