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Finding the Fourth Proportional to 3,378.60, 5,065.92 and 1,186.92

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Solution

The fourth proportional to 3,378.60, 5,065.92 and 1,186.92 is: 1,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.60 : 5,065.92 = 1,186.92 : x
  2. Step 2: Convert to fraction form
    3,378.60/5,065.92 = 1,186.92/x
  3. Step 3: Cross multiply
    3,378.60x = 5,065.92 × 1,186.92
  4. Step 4: Simplify right side
    3,378.60x = 6,012,841.77
  5. Step 5: Solve for x
    x = 6,012,841.77/3,378.60
  6. Step 6: Final answer
    x = 1,779.68

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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.