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Finding the Fourth Proportional to 4,747.94, 7,122.60 and 1,461.32

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Solution

The fourth proportional to 4,747.94, 7,122.60 and 1,461.32 is: 2,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.94 : 7,122.60 = 1,461.32 : x
  2. Step 2: Convert to fraction form
    4,747.94/7,122.60 = 1,461.32/x
  3. Step 3: Cross multiply
    4,747.94x = 7,122.60 × 1,461.32
  4. Step 4: Simplify right side
    4,747.94x = 10,408,397.83
  5. Step 5: Solve for x
    x = 10,408,397.83/4,747.94
  6. Step 6: Final answer
    x = 2,192.19

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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.