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Finding the Fourth Proportional to 5,565.80, 8,348.69 and 1,670.21

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Solution

The fourth proportional to 5,565.80, 8,348.69 and 1,670.21 is: 2,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.80 : 8,348.69 = 1,670.21 : x
  2. Step 2: Convert to fraction form
    5,565.80/8,348.69 = 1,670.21/x
  3. Step 3: Cross multiply
    5,565.80x = 8,348.69 × 1,670.21
  4. Step 4: Simplify right side
    5,565.80x = 13,944,027.96
  5. Step 5: Solve for x
    x = 13,944,027.96/5,565.80
  6. Step 6: Final answer
    x = 2,505.31

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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.