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Finding the Fourth Proportional to 4,913.04, 7,362.52 and 3,812.24

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Solution

The fourth proportional to 4,913.04, 7,362.52 and 3,812.24 is: 5,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.04 : 7,362.52 = 3,812.24 : x
  2. Step 2: Convert to fraction form
    4,913.04/7,362.52 = 3,812.24/x
  3. Step 3: Cross multiply
    4,913.04x = 7,362.52 × 3,812.24
  4. Step 4: Simplify right side
    4,913.04x = 28,067,693.24
  5. Step 5: Solve for x
    x = 28,067,693.24/4,913.04
  6. Step 6: Final answer
    x = 5,712.90

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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.