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Finding the Fourth Proportional to 5,064.24, 7,598.64 and 3,214.86

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Solution

The fourth proportional to 5,064.24, 7,598.64 and 3,214.86 is: 4,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.24 : 7,598.64 = 3,214.86 : x
  2. Step 2: Convert to fraction form
    5,064.24/7,598.64 = 3,214.86/x
  3. Step 3: Cross multiply
    5,064.24x = 7,598.64 × 3,214.86
  4. Step 4: Simplify right side
    5,064.24x = 24,428,520.23
  5. Step 5: Solve for x
    x = 24,428,520.23/5,064.24
  6. Step 6: Final answer
    x = 4,823.73

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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.