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Finding the Fourth Proportional to 4,612.24, 6,888.94 and 4,172.81

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Solution

The fourth proportional to 4,612.24, 6,888.94 and 4,172.81 is: 6,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.24 : 6,888.94 = 4,172.81 : x
  2. Step 2: Convert to fraction form
    4,612.24/6,888.94 = 4,172.81/x
  3. Step 3: Cross multiply
    4,612.24x = 6,888.94 × 4,172.81
  4. Step 4: Simplify right side
    4,612.24x = 28,746,237.72
  5. Step 5: Solve for x
    x = 28,746,237.72/4,612.24
  6. Step 6: Final answer
    x = 6,232.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.