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Finding the Fourth Proportional to 5,783.08, 8,674.59 and 1,400.56

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Solution

The fourth proportional to 5,783.08, 8,674.59 and 1,400.56 is: 2,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.08 : 8,674.59 = 1,400.56 : x
  2. Step 2: Convert to fraction form
    5,783.08/8,674.59 = 1,400.56/x
  3. Step 3: Cross multiply
    5,783.08x = 8,674.59 × 1,400.56
  4. Step 4: Simplify right side
    5,783.08x = 12,149,283.77
  5. Step 5: Solve for x
    x = 12,149,283.77/5,783.08
  6. Step 6: Final answer
    x = 2,100.83

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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.