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Finding the Fourth Proportional to 5,646.29, 8,468.69 and 1,486.64

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Solution

The fourth proportional to 5,646.29, 8,468.69 and 1,486.64 is: 2,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.29 : 8,468.69 = 1,486.64 : x
  2. Step 2: Convert to fraction form
    5,646.29/8,468.69 = 1,486.64/x
  3. Step 3: Cross multiply
    5,646.29x = 8,468.69 × 1,486.64
  4. Step 4: Simplify right side
    5,646.29x = 12,589,907.04
  5. Step 5: Solve for x
    x = 12,589,907.04/5,646.29
  6. Step 6: Final answer
    x = 2,229.77

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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.