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Finding the Fourth Proportional to 5,419.66, 8,124.19 and 2,646.22

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Solution

The fourth proportional to 5,419.66, 8,124.19 and 2,646.22 is: 3,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.66 : 8,124.19 = 2,646.22 : x
  2. Step 2: Convert to fraction form
    5,419.66/8,124.19 = 2,646.22/x
  3. Step 3: Cross multiply
    5,419.66x = 8,124.19 × 2,646.22
  4. Step 4: Simplify right side
    5,419.66x = 21,498,394.06
  5. Step 5: Solve for x
    x = 21,498,394.06/5,419.66
  6. Step 6: Final answer
    x = 3,966.74

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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.