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Finding the Fourth Proportional to 4,754.83, 7,132.95 and 1,635.64

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Solution

The fourth proportional to 4,754.83, 7,132.95 and 1,635.64 is: 2,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.83 : 7,132.95 = 1,635.64 : x
  2. Step 2: Convert to fraction form
    4,754.83/7,132.95 = 1,635.64/x
  3. Step 3: Cross multiply
    4,754.83x = 7,132.95 × 1,635.64
  4. Step 4: Simplify right side
    4,754.83x = 11,666,938.34
  5. Step 5: Solve for x
    x = 11,666,938.34/4,754.83
  6. Step 6: Final answer
    x = 2,453.70

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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.