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Finding the Fourth Proportional to 6,296.29, 8,688.70 and 3,463.66

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Solution

The fourth proportional to 6,296.29, 8,688.70 and 3,463.66 is: 4,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.29 : 8,688.70 = 3,463.66 : x
  2. Step 2: Convert to fraction form
    6,296.29/8,688.70 = 3,463.66/x
  3. Step 3: Cross multiply
    6,296.29x = 8,688.70 × 3,463.66
  4. Step 4: Simplify right side
    6,296.29x = 30,094,703.22
  5. Step 5: Solve for x
    x = 30,094,703.22/6,296.29
  6. Step 6: Final answer
    x = 4,779.75

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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.