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Finding the Fourth Proportional to 5,827.87, 8,740.33 and 1,667.90

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Solution

The fourth proportional to 5,827.87, 8,740.33 and 1,667.90 is: 2,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.87 : 8,740.33 = 1,667.90 : x
  2. Step 2: Convert to fraction form
    5,827.87/8,740.33 = 1,667.90/x
  3. Step 3: Cross multiply
    5,827.87x = 8,740.33 × 1,667.90
  4. Step 4: Simplify right side
    5,827.87x = 14,577,948.54
  5. Step 5: Solve for x
    x = 14,577,948.54/5,827.87
  6. Step 6: Final answer
    x = 2,501.42

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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.