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Finding the Fourth Proportional to 4,129.61, 6,194.83 and 1,356.30

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Solution

The fourth proportional to 4,129.61, 6,194.83 and 1,356.30 is: 2,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.61 : 6,194.83 = 1,356.30 : x
  2. Step 2: Convert to fraction form
    4,129.61/6,194.83 = 1,356.30/x
  3. Step 3: Cross multiply
    4,129.61x = 6,194.83 × 1,356.30
  4. Step 4: Simplify right side
    4,129.61x = 8,402,016.95
  5. Step 5: Solve for x
    x = 8,402,016.95/4,129.61
  6. Step 6: Final answer
    x = 2,034.58

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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.