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Finding the Fourth Proportional to 4,688.69, 6,468.12 and 2,698.11

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Solution

The fourth proportional to 4,688.69, 6,468.12 and 2,698.11 is: 3,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.69 : 6,468.12 = 2,698.11 : x
  2. Step 2: Convert to fraction form
    4,688.69/6,468.12 = 2,698.11/x
  3. Step 3: Cross multiply
    4,688.69x = 6,468.12 × 2,698.11
  4. Step 4: Simplify right side
    4,688.69x = 17,451,699.25
  5. Step 5: Solve for x
    x = 17,451,699.25/4,688.69
  6. Step 6: Final answer
    x = 3,722.09

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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.