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Finding the Fourth Proportional to 6,296.22, 8,688.33 and 3,607.74

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Solution

The fourth proportional to 6,296.22, 8,688.33 and 3,607.74 is: 4,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.22 : 8,688.33 = 3,607.74 : x
  2. Step 2: Convert to fraction form
    6,296.22/8,688.33 = 3,607.74/x
  3. Step 3: Cross multiply
    6,296.22x = 8,688.33 × 3,607.74
  4. Step 4: Simplify right side
    6,296.22x = 31,345,235.67
  5. Step 5: Solve for x
    x = 31,345,235.67/6,296.22
  6. Step 6: Final answer
    x = 4,978.42

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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.