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Finding the Fourth Proportional to 3,573.62, 4,928.89 and 3,130.75

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Solution

The fourth proportional to 3,573.62, 4,928.89 and 3,130.75 is: 4,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.62 : 4,928.89 = 3,130.75 : x
  2. Step 2: Convert to fraction form
    3,573.62/4,928.89 = 3,130.75/x
  3. Step 3: Cross multiply
    3,573.62x = 4,928.89 × 3,130.75
  4. Step 4: Simplify right side
    3,573.62x = 15,431,122.37
  5. Step 5: Solve for x
    x = 15,431,122.37/3,573.62
  6. Step 6: Final answer
    x = 4,318.06

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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.