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Finding the Fourth Proportional to 4,194, 6,291.72 and 1,272.60

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Solution

The fourth proportional to 4,194, 6,291.72 and 1,272.60 is: 1,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 6,291.72 = 1,272.60 : x
  2. Step 2: Convert to fraction form
    4,194/6,291.72 = 1,272.60/x
  3. Step 3: Cross multiply
    4,194x = 6,291.72 × 1,272.60
  4. Step 4: Simplify right side
    4,194x = 8,006,842.87
  5. Step 5: Solve for x
    x = 8,006,842.87/4,194
  6. Step 6: Final answer
    x = 1,909.12

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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.