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Finding the Fourth Proportional to 4,754.35, 7,132.20 and 1,466.83

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Solution

The fourth proportional to 4,754.35, 7,132.20 and 1,466.83 is: 2,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.35 : 7,132.20 = 1,466.83 : x
  2. Step 2: Convert to fraction form
    4,754.35/7,132.20 = 1,466.83/x
  3. Step 3: Cross multiply
    4,754.35x = 7,132.20 × 1,466.83
  4. Step 4: Simplify right side
    4,754.35x = 10,461,724.93
  5. Step 5: Solve for x
    x = 10,461,724.93/4,754.35
  6. Step 6: Final answer
    x = 2,200.45

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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.