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Finding the Fourth Proportional to 4,734.02, 7,102.31 and 1,812.42

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Solution

The fourth proportional to 4,734.02, 7,102.31 and 1,812.42 is: 2,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.02 : 7,102.31 = 1,812.42 : x
  2. Step 2: Convert to fraction form
    4,734.02/7,102.31 = 1,812.42/x
  3. Step 3: Cross multiply
    4,734.02x = 7,102.31 × 1,812.42
  4. Step 4: Simplify right side
    4,734.02x = 12,872,368.69
  5. Step 5: Solve for x
    x = 12,872,368.69/4,734.02
  6. Step 6: Final answer
    x = 2,719.12

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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.