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Finding the Fourth Proportional to 5,429.60, 8,145.12 and 1,966.88

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Solution

The fourth proportional to 5,429.60, 8,145.12 and 1,966.88 is: 2,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.60 : 8,145.12 = 1,966.88 : x
  2. Step 2: Convert to fraction form
    5,429.60/8,145.12 = 1,966.88/x
  3. Step 3: Cross multiply
    5,429.60x = 8,145.12 × 1,966.88
  4. Step 4: Simplify right side
    5,429.60x = 16,020,473.63
  5. Step 5: Solve for x
    x = 16,020,473.63/5,429.60
  6. Step 6: Final answer
    x = 2,950.58

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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.