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Finding the Fourth Proportional to 5,780.74, 8,671.50 and 2,858.26

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Solution

The fourth proportional to 5,780.74, 8,671.50 and 2,858.26 is: 4,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.74 : 8,671.50 = 2,858.26 : x
  2. Step 2: Convert to fraction form
    5,780.74/8,671.50 = 2,858.26/x
  3. Step 3: Cross multiply
    5,780.74x = 8,671.50 × 2,858.26
  4. Step 4: Simplify right side
    5,780.74x = 24,785,401.59
  5. Step 5: Solve for x
    x = 24,785,401.59/5,780.74
  6. Step 6: Final answer
    x = 4,287.58

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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.