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Finding the Fourth Proportional to 4,133.52, 5,700.24 and 3,138.84

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Solution

The fourth proportional to 4,133.52, 5,700.24 and 3,138.84 is: 4,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.52 : 5,700.24 = 3,138.84 : x
  2. Step 2: Convert to fraction form
    4,133.52/5,700.24 = 3,138.84/x
  3. Step 3: Cross multiply
    4,133.52x = 5,700.24 × 3,138.84
  4. Step 4: Simplify right side
    4,133.52x = 17,892,141.32
  5. Step 5: Solve for x
    x = 17,892,141.32/4,133.52
  6. Step 6: Final answer
    x = 4,328.55

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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.