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Finding the Fourth Proportional to 6,296.02, 8,688.98 and 3,778.24

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Solution

The fourth proportional to 6,296.02, 8,688.98 and 3,778.24 is: 5,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.02 : 8,688.98 = 3,778.24 : x
  2. Step 2: Convert to fraction form
    6,296.02/8,688.98 = 3,778.24/x
  3. Step 3: Cross multiply
    6,296.02x = 8,688.98 × 3,778.24
  4. Step 4: Simplify right side
    6,296.02x = 32,829,051.80
  5. Step 5: Solve for x
    x = 32,829,051.80/6,296.02
  6. Step 6: Final answer
    x = 5,214.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.