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Finding the Fourth Proportional to 4,197.96, 6,298.56 and 1,565.46

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Solution

The fourth proportional to 4,197.96, 6,298.56 and 1,565.46 is: 2,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.96 : 6,298.56 = 1,565.46 : x
  2. Step 2: Convert to fraction form
    4,197.96/6,298.56 = 1,565.46/x
  3. Step 3: Cross multiply
    4,197.96x = 6,298.56 × 1,565.46
  4. Step 4: Simplify right side
    4,197.96x = 9,860,143.74
  5. Step 5: Solve for x
    x = 9,860,143.74/4,197.96
  6. Step 6: Final answer
    x = 2,348.79

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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.