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Finding the Fourth Proportional to 4,317.51, 6,468.98 and 3,450

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Solution

The fourth proportional to 4,317.51, 6,468.98 and 3,450 is: 5,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.51 : 6,468.98 = 3,450 : x
  2. Step 2: Convert to fraction form
    4,317.51/6,468.98 = 3,450/x
  3. Step 3: Cross multiply
    4,317.51x = 6,468.98 × 3,450
  4. Step 4: Simplify right side
    4,317.51x = 22,317,963.75
  5. Step 5: Solve for x
    x = 22,317,963.75/4,317.51
  6. Step 6: Final answer
    x = 5,169.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.