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Finding the Fourth Proportional to 6,296.25, 8,688.84 and 3,501.75

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Solution

The fourth proportional to 6,296.25, 8,688.84 and 3,501.75 is: 4,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.25 : 8,688.84 = 3,501.75 : x
  2. Step 2: Convert to fraction form
    6,296.25/8,688.84 = 3,501.75/x
  3. Step 3: Cross multiply
    6,296.25x = 8,688.84 × 3,501.75
  4. Step 4: Simplify right side
    6,296.25x = 30,426,145.47
  5. Step 5: Solve for x
    x = 30,426,145.47/6,296.25
  6. Step 6: Final answer
    x = 4,832.42

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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.