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Finding the Fourth Proportional to 5,785.75, 8,679.03 and 2,323

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Solution

The fourth proportional to 5,785.75, 8,679.03 and 2,323 is: 3,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.75 : 8,679.03 = 2,323 : x
  2. Step 2: Convert to fraction form
    5,785.75/8,679.03 = 2,323/x
  3. Step 3: Cross multiply
    5,785.75x = 8,679.03 × 2,323
  4. Step 4: Simplify right side
    5,785.75x = 20,161,386.69
  5. Step 5: Solve for x
    x = 20,161,386.69/5,785.75
  6. Step 6: Final answer
    x = 3,484.66

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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.