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Finding the Fourth Proportional to 4,192, 6,312.44 and 3,104.08

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Solution

The fourth proportional to 4,192, 6,312.44 and 3,104.08 is: 4,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192 : 6,312.44 = 3,104.08 : x
  2. Step 2: Convert to fraction form
    4,192/6,312.44 = 3,104.08/x
  3. Step 3: Cross multiply
    4,192x = 6,312.44 × 3,104.08
  4. Step 4: Simplify right side
    4,192x = 19,594,318.76
  5. Step 5: Solve for x
    x = 19,594,318.76/4,192
  6. Step 6: Final answer
    x = 4,674.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.