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Finding the Fourth Proportional to 5,857.12, 8,786.13 and 1,697.19

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Solution

The fourth proportional to 5,857.12, 8,786.13 and 1,697.19 is: 2,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.12 : 8,786.13 = 1,697.19 : x
  2. Step 2: Convert to fraction form
    5,857.12/8,786.13 = 1,697.19/x
  3. Step 3: Cross multiply
    5,857.12x = 8,786.13 × 1,697.19
  4. Step 4: Simplify right side
    5,857.12x = 14,911,702.21
  5. Step 5: Solve for x
    x = 14,911,702.21/5,857.12
  6. Step 6: Final answer
    x = 2,545.91

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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.