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Finding the Fourth Proportional to 3,675.64, 5,073.18 and 2,260.53

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Solution

The fourth proportional to 3,675.64, 5,073.18 and 2,260.53 is: 3,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.64 : 5,073.18 = 2,260.53 : x
  2. Step 2: Convert to fraction form
    3,675.64/5,073.18 = 2,260.53/x
  3. Step 3: Cross multiply
    3,675.64x = 5,073.18 × 2,260.53
  4. Step 4: Simplify right side
    3,675.64x = 11,468,047.68
  5. Step 5: Solve for x
    x = 11,468,047.68/3,675.64
  6. Step 6: Final answer
    x = 3,120.01

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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.