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Finding the Fourth Proportional to 4,703.56, 7,049.10 and 2,069.32

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Solution

The fourth proportional to 4,703.56, 7,049.10 and 2,069.32 is: 3,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.56 : 7,049.10 = 2,069.32 : x
  2. Step 2: Convert to fraction form
    4,703.56/7,049.10 = 2,069.32/x
  3. Step 3: Cross multiply
    4,703.56x = 7,049.10 × 2,069.32
  4. Step 4: Simplify right side
    4,703.56x = 14,586,843.61
  5. Step 5: Solve for x
    x = 14,586,843.61/4,703.56
  6. Step 6: Final answer
    x = 3,101.23

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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.