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Finding the Fourth Proportional to 5,826.35, 8,740.89 and 1,666.42

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Solution

The fourth proportional to 5,826.35, 8,740.89 and 1,666.42 is: 2,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.35 : 8,740.89 = 1,666.42 : x
  2. Step 2: Convert to fraction form
    5,826.35/8,740.89 = 1,666.42/x
  3. Step 3: Cross multiply
    5,826.35x = 8,740.89 × 1,666.42
  4. Step 4: Simplify right side
    5,826.35x = 14,565,993.91
  5. Step 5: Solve for x
    x = 14,565,993.91/5,826.35
  6. Step 6: Final answer
    x = 2,500.02

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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.