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Finding the Fourth Proportional to 5,782.59, 8,671.83 and 2,083.83

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Solution

The fourth proportional to 5,782.59, 8,671.83 and 2,083.83 is: 3,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.59 : 8,671.83 = 2,083.83 : x
  2. Step 2: Convert to fraction form
    5,782.59/8,671.83 = 2,083.83/x
  3. Step 3: Cross multiply
    5,782.59x = 8,671.83 × 2,083.83
  4. Step 4: Simplify right side
    5,782.59x = 18,070,619.51
  5. Step 5: Solve for x
    x = 18,070,619.51/5,782.59
  6. Step 6: Final answer
    x = 3,125.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.