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Finding the Fourth Proportional to 4,123.34, 6,185.71 and 1,349.22

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Solution

The fourth proportional to 4,123.34, 6,185.71 and 1,349.22 is: 2,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.34 : 6,185.71 = 1,349.22 : x
  2. Step 2: Convert to fraction form
    4,123.34/6,185.71 = 1,349.22/x
  3. Step 3: Cross multiply
    4,123.34x = 6,185.71 × 1,349.22
  4. Step 4: Simplify right side
    4,123.34x = 8,345,883.65
  5. Step 5: Solve for x
    x = 8,345,883.65/4,123.34
  6. Step 6: Final answer
    x = 2,024.06

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