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Finding the Fourth Proportional to 4,709.47, 7,064.25 and 1,199.49

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Solution

The fourth proportional to 4,709.47, 7,064.25 and 1,199.49 is: 1,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.47 : 7,064.25 = 1,199.49 : x
  2. Step 2: Convert to fraction form
    4,709.47/7,064.25 = 1,199.49/x
  3. Step 3: Cross multiply
    4,709.47x = 7,064.25 × 1,199.49
  4. Step 4: Simplify right side
    4,709.47x = 8,473,497.23
  5. Step 5: Solve for x
    x = 8,473,497.23/4,709.47
  6. Step 6: Final answer
    x = 1,799.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.