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Finding the Fourth Proportional to 4,686.69, 6,468.08 and 2,698.41

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Solution

The fourth proportional to 4,686.69, 6,468.08 and 2,698.41 is: 3,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.69 : 6,468.08 = 2,698.41 : x
  2. Step 2: Convert to fraction form
    4,686.69/6,468.08 = 2,698.41/x
  3. Step 3: Cross multiply
    4,686.69x = 6,468.08 × 2,698.41
  4. Step 4: Simplify right side
    4,686.69x = 17,453,518.26
  5. Step 5: Solve for x
    x = 17,453,518.26/4,686.69
  6. Step 6: Final answer
    x = 3,724.06

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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.