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Finding the Fourth Proportional to 4,734.35, 7,102.13 and 1,812.27

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Solution

The fourth proportional to 4,734.35, 7,102.13 and 1,812.27 is: 2,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.35 : 7,102.13 = 1,812.27 : x
  2. Step 2: Convert to fraction form
    4,734.35/7,102.13 = 1,812.27/x
  3. Step 3: Cross multiply
    4,734.35x = 7,102.13 × 1,812.27
  4. Step 4: Simplify right side
    4,734.35x = 12,870,968.07
  5. Step 5: Solve for x
    x = 12,870,968.07/4,734.35
  6. Step 6: Final answer
    x = 2,718.64

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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.