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Finding the Fourth Proportional to 4,674.14, 7,011.63 and 1,342.42

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Solution

The fourth proportional to 4,674.14, 7,011.63 and 1,342.42 is: 2,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.14 : 7,011.63 = 1,342.42 : x
  2. Step 2: Convert to fraction form
    4,674.14/7,011.63 = 1,342.42/x
  3. Step 3: Cross multiply
    4,674.14x = 7,011.63 × 1,342.42
  4. Step 4: Simplify right side
    4,674.14x = 9,412,574.26
  5. Step 5: Solve for x
    x = 9,412,574.26/4,674.14
  6. Step 6: Final answer
    x = 2,013.76

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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.