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Finding the Fourth Proportional to 4,092, 6,126.80 and 2,860.64

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Solution

The fourth proportional to 4,092, 6,126.80 and 2,860.64 is: 4,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092 : 6,126.80 = 2,860.64 : x
  2. Step 2: Convert to fraction form
    4,092/6,126.80 = 2,860.64/x
  3. Step 3: Cross multiply
    4,092x = 6,126.80 × 2,860.64
  4. Step 4: Simplify right side
    4,092x = 17,526,569.15
  5. Step 5: Solve for x
    x = 17,526,569.15/4,092
  6. Step 6: Final answer
    x = 4,283.13

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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.