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Finding the Fourth Proportional to 5,790.76, 8,688.22 and 2,278.82

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Solution

The fourth proportional to 5,790.76, 8,688.22 and 2,278.82 is: 3,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.76 : 8,688.22 = 2,278.82 : x
  2. Step 2: Convert to fraction form
    5,790.76/8,688.22 = 2,278.82/x
  3. Step 3: Cross multiply
    5,790.76x = 8,688.22 × 2,278.82
  4. Step 4: Simplify right side
    5,790.76x = 19,798,889.50
  5. Step 5: Solve for x
    x = 19,798,889.50/5,790.76
  6. Step 6: Final answer
    x = 3,419.05

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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.