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Finding the Fourth Proportional to 3,455.13, 4,768.07 and 1,883.23

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Solution

The fourth proportional to 3,455.13, 4,768.07 and 1,883.23 is: 2,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.13 : 4,768.07 = 1,883.23 : x
  2. Step 2: Convert to fraction form
    3,455.13/4,768.07 = 1,883.23/x
  3. Step 3: Cross multiply
    3,455.13x = 4,768.07 × 1,883.23
  4. Step 4: Simplify right side
    3,455.13x = 8,979,367.02
  5. Step 5: Solve for x
    x = 8,979,367.02/3,455.13
  6. Step 6: Final answer
    x = 2,598.85

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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.