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Finding the Fourth Proportional to 5,662.68, 8,484.84 and 3,464.76

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Solution

The fourth proportional to 5,662.68, 8,484.84 and 3,464.76 is: 5,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.68 : 8,484.84 = 3,464.76 : x
  2. Step 2: Convert to fraction form
    5,662.68/8,484.84 = 3,464.76/x
  3. Step 3: Cross multiply
    5,662.68x = 8,484.84 × 3,464.76
  4. Step 4: Simplify right side
    5,662.68x = 29,397,934.24
  5. Step 5: Solve for x
    x = 29,397,934.24/5,662.68
  6. Step 6: Final answer
    x = 5,191.52

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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.