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Finding the Fourth Proportional to 4,733.50, 7,102.14 and 1,812.10

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Solution

The fourth proportional to 4,733.50, 7,102.14 and 1,812.10 is: 2,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.50 : 7,102.14 = 1,812.10 : x
  2. Step 2: Convert to fraction form
    4,733.50/7,102.14 = 1,812.10/x
  3. Step 3: Cross multiply
    4,733.50x = 7,102.14 × 1,812.10
  4. Step 4: Simplify right side
    4,733.50x = 12,869,787.89
  5. Step 5: Solve for x
    x = 12,869,787.89/4,733.50
  6. Step 6: Final answer
    x = 2,718.87

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Why These Related Problems?

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