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Finding the Fourth Proportional to 5,565.72, 8,348.44 and 1,670.16

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Solution

The fourth proportional to 5,565.72, 8,348.44 and 1,670.16 is: 2,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.72 : 8,348.44 = 1,670.16 : x
  2. Step 2: Convert to fraction form
    5,565.72/8,348.44 = 1,670.16/x
  3. Step 3: Cross multiply
    5,565.72x = 8,348.44 × 1,670.16
  4. Step 4: Simplify right side
    5,565.72x = 13,943,230.55
  5. Step 5: Solve for x
    x = 13,943,230.55/5,565.72
  6. Step 6: Final answer
    x = 2,505.20

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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.