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Finding the Fourth Proportional to 4,122.65, 6,184.36 and 1,349.34

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Solution

The fourth proportional to 4,122.65, 6,184.36 and 1,349.34 is: 2,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.65 : 6,184.36 = 1,349.34 : x
  2. Step 2: Convert to fraction form
    4,122.65/6,184.36 = 1,349.34/x
  3. Step 3: Cross multiply
    4,122.65x = 6,184.36 × 1,349.34
  4. Step 4: Simplify right side
    4,122.65x = 8,344,804.32
  5. Step 5: Solve for x
    x = 8,344,804.32/4,122.65
  6. Step 6: Final answer
    x = 2,024.14

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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.