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Finding the Fourth Proportional to 4,702.05, 7,051.05 and 2,233.98

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Solution

The fourth proportional to 4,702.05, 7,051.05 and 2,233.98 is: 3,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.05 : 7,051.05 = 2,233.98 : x
  2. Step 2: Convert to fraction form
    4,702.05/7,051.05 = 2,233.98/x
  3. Step 3: Cross multiply
    4,702.05x = 7,051.05 × 2,233.98
  4. Step 4: Simplify right side
    4,702.05x = 15,751,904.68
  5. Step 5: Solve for x
    x = 15,751,904.68/4,702.05
  6. Step 6: Final answer
    x = 3,350.01

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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.