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Finding the Fourth Proportional to 5,703.60, 8,558.14 and 2,780.31

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Solution

The fourth proportional to 5,703.60, 8,558.14 and 2,780.31 is: 4,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.60 : 8,558.14 = 2,780.31 : x
  2. Step 2: Convert to fraction form
    5,703.60/8,558.14 = 2,780.31/x
  3. Step 3: Cross multiply
    5,703.60x = 8,558.14 × 2,780.31
  4. Step 4: Simplify right side
    5,703.60x = 23,794,282.22
  5. Step 5: Solve for x
    x = 23,794,282.22/5,703.60
  6. Step 6: Final answer
    x = 4,171.80

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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.