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Finding the Fourth Proportional to 4,712.01, 7,069.14 and 1,424.91

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Solution

The fourth proportional to 4,712.01, 7,069.14 and 1,424.91 is: 2,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.01 : 7,069.14 = 1,424.91 : x
  2. Step 2: Convert to fraction form
    4,712.01/7,069.14 = 1,424.91/x
  3. Step 3: Cross multiply
    4,712.01x = 7,069.14 × 1,424.91
  4. Step 4: Simplify right side
    4,712.01x = 10,072,888.28
  5. Step 5: Solve for x
    x = 10,072,888.28/4,712.01
  6. Step 6: Final answer
    x = 2,137.71

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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.