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Finding the Fourth Proportional to 5,783.70, 8,681.31 and 3,187.86

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Solution

The fourth proportional to 5,783.70, 8,681.31 and 3,187.86 is: 4,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.70 : 8,681.31 = 3,187.86 : x
  2. Step 2: Convert to fraction form
    5,783.70/8,681.31 = 3,187.86/x
  3. Step 3: Cross multiply
    5,783.70x = 8,681.31 × 3,187.86
  4. Step 4: Simplify right side
    5,783.70x = 27,674,800.90
  5. Step 5: Solve for x
    x = 27,674,800.90/5,783.70
  6. Step 6: Final answer
    x = 4,784.96

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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.