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Finding the Fourth Proportional to 4,709.14, 7,064.04 and 1,422.48

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Solution

The fourth proportional to 4,709.14, 7,064.04 and 1,422.48 is: 2,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.14 : 7,064.04 = 1,422.48 : x
  2. Step 2: Convert to fraction form
    4,709.14/7,064.04 = 1,422.48/x
  3. Step 3: Cross multiply
    4,709.14x = 7,064.04 × 1,422.48
  4. Step 4: Simplify right side
    4,709.14x = 10,048,455.62
  5. Step 5: Solve for x
    x = 10,048,455.62/4,709.14
  6. Step 6: Final answer
    x = 2,133.82

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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.