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Finding the Fourth Proportional to 5,074.51, 7,609.94 and 1,952.93

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Solution

The fourth proportional to 5,074.51, 7,609.94 and 1,952.93 is: 2,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.51 : 7,609.94 = 1,952.93 : x
  2. Step 2: Convert to fraction form
    5,074.51/7,609.94 = 1,952.93/x
  3. Step 3: Cross multiply
    5,074.51x = 7,609.94 × 1,952.93
  4. Step 4: Simplify right side
    5,074.51x = 14,861,680.12
  5. Step 5: Solve for x
    x = 14,861,680.12/5,074.51
  6. Step 6: Final answer
    x = 2,928.69

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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.