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Finding the Fourth Proportional to 4,709.40, 7,064.15 and 1,422.52

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Solution

The fourth proportional to 4,709.40, 7,064.15 and 1,422.52 is: 2,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.40 : 7,064.15 = 1,422.52 : x
  2. Step 2: Convert to fraction form
    4,709.40/7,064.15 = 1,422.52/x
  3. Step 3: Cross multiply
    4,709.40x = 7,064.15 × 1,422.52
  4. Step 4: Simplify right side
    4,709.40x = 10,048,894.66
  5. Step 5: Solve for x
    x = 10,048,894.66/4,709.40
  6. Step 6: Final answer
    x = 2,133.80

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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.