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Finding the Fourth Proportional to 5,064.94, 7,596.87 and 1,778.14

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Solution

The fourth proportional to 5,064.94, 7,596.87 and 1,778.14 is: 2,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.94 : 7,596.87 = 1,778.14 : x
  2. Step 2: Convert to fraction form
    5,064.94/7,596.87 = 1,778.14/x
  3. Step 3: Cross multiply
    5,064.94x = 7,596.87 × 1,778.14
  4. Step 4: Simplify right side
    5,064.94x = 13,508,298.42
  5. Step 5: Solve for x
    x = 13,508,298.42/5,064.94
  6. Step 6: Final answer
    x = 2,667.02

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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.