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Finding the Fourth Proportional to 5,731.74, 8,595.96 and 2,610

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Solution

The fourth proportional to 5,731.74, 8,595.96 and 2,610 is: 3,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.74 : 8,595.96 = 2,610 : x
  2. Step 2: Convert to fraction form
    5,731.74/8,595.96 = 2,610/x
  3. Step 3: Cross multiply
    5,731.74x = 8,595.96 × 2,610
  4. Step 4: Simplify right side
    5,731.74x = 22,435,455.60
  5. Step 5: Solve for x
    x = 22,435,455.60/5,731.74
  6. Step 6: Final answer
    x = 3,914.25

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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.