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Finding the Fourth Proportional to 5,789.30, 8,685.18 and 1,893.40

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Solution

The fourth proportional to 5,789.30, 8,685.18 and 1,893.40 is: 2,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.30 : 8,685.18 = 1,893.40 : x
  2. Step 2: Convert to fraction form
    5,789.30/8,685.18 = 1,893.40/x
  3. Step 3: Cross multiply
    5,789.30x = 8,685.18 × 1,893.40
  4. Step 4: Simplify right side
    5,789.30x = 16,444,519.81
  5. Step 5: Solve for x
    x = 16,444,519.81/5,789.30
  6. Step 6: Final answer
    x = 2,840.50

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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.