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Finding the Fourth Proportional to 4,709.73, 7,065.14 and 1,423.02

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Solution

The fourth proportional to 4,709.73, 7,065.14 and 1,423.02 is: 2,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.73 : 7,065.14 = 1,423.02 : x
  2. Step 2: Convert to fraction form
    4,709.73/7,065.14 = 1,423.02/x
  3. Step 3: Cross multiply
    4,709.73x = 7,065.14 × 1,423.02
  4. Step 4: Simplify right side
    4,709.73x = 10,053,835.52
  5. Step 5: Solve for x
    x = 10,053,835.52/4,709.73
  6. Step 6: Final answer
    x = 2,134.69

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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.