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Finding the Fourth Proportional to 5,657.16, 8,486.25 and 1,497.12

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Solution

The fourth proportional to 5,657.16, 8,486.25 and 1,497.12 is: 2,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.16 : 8,486.25 = 1,497.12 : x
  2. Step 2: Convert to fraction form
    5,657.16/8,486.25 = 1,497.12/x
  3. Step 3: Cross multiply
    5,657.16x = 8,486.25 × 1,497.12
  4. Step 4: Simplify right side
    5,657.16x = 12,704,934.60
  5. Step 5: Solve for x
    x = 12,704,934.60/5,657.16
  6. Step 6: Final answer
    x = 2,245.81

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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.