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Finding the Fourth Proportional to 4,686.72, 6,469.02 and 2,698.68

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Solution

The fourth proportional to 4,686.72, 6,469.02 and 2,698.68 is: 3,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.72 : 6,469.02 = 2,698.68 : x
  2. Step 2: Convert to fraction form
    4,686.72/6,469.02 = 2,698.68/x
  3. Step 3: Cross multiply
    4,686.72x = 6,469.02 × 2,698.68
  4. Step 4: Simplify right side
    4,686.72x = 17,457,814.89
  5. Step 5: Solve for x
    x = 17,457,814.89/4,686.72
  6. Step 6: Final answer
    x = 3,724.95

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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.