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Finding the Fourth Proportional to 5,065.68, 7,595.74 and 1,778.47

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Solution

The fourth proportional to 5,065.68, 7,595.74 and 1,778.47 is: 2,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.68 : 7,595.74 = 1,778.47 : x
  2. Step 2: Convert to fraction form
    5,065.68/7,595.74 = 1,778.47/x
  3. Step 3: Cross multiply
    5,065.68x = 7,595.74 × 1,778.47
  4. Step 4: Simplify right side
    5,065.68x = 13,508,795.72
  5. Step 5: Solve for x
    x = 13,508,795.72/5,065.68
  6. Step 6: Final answer
    x = 2,666.73

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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.