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Finding the Fourth Proportional to 4,123.34, 6,185.79 and 1,350.17

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Solution

The fourth proportional to 4,123.34, 6,185.79 and 1,350.17 is: 2,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.34 : 6,185.79 = 1,350.17 : x
  2. Step 2: Convert to fraction form
    4,123.34/6,185.79 = 1,350.17/x
  3. Step 3: Cross multiply
    4,123.34x = 6,185.79 × 1,350.17
  4. Step 4: Simplify right side
    4,123.34x = 8,351,830.40
  5. Step 5: Solve for x
    x = 8,351,830.40/4,123.34
  6. Step 6: Final answer
    x = 2,025.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.