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Finding the Fourth Proportional to 2,854.53, 3,914.10 and 2,573.64

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Solution

The fourth proportional to 2,854.53, 3,914.10 and 2,573.64 is: 3,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.53 : 3,914.10 = 2,573.64 : x
  2. Step 2: Convert to fraction form
    2,854.53/3,914.10 = 2,573.64/x
  3. Step 3: Cross multiply
    2,854.53x = 3,914.10 × 2,573.64
  4. Step 4: Simplify right side
    2,854.53x = 10,073,484.32
  5. Step 5: Solve for x
    x = 10,073,484.32/2,854.53
  6. Step 6: Final answer
    x = 3,528.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.