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Finding the Fourth Proportional to 4,799.70, 7,195.16 and 4,064.05

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Solution

The fourth proportional to 4,799.70, 7,195.16 and 4,064.05 is: 6,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.70 : 7,195.16 = 4,064.05 : x
  2. Step 2: Convert to fraction form
    4,799.70/7,195.16 = 4,064.05/x
  3. Step 3: Cross multiply
    4,799.70x = 7,195.16 × 4,064.05
  4. Step 4: Simplify right side
    4,799.70x = 29,241,482.17
  5. Step 5: Solve for x
    x = 29,241,482.17/4,799.70
  6. Step 6: Final answer
    x = 6,092.36

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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.