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Finding the Fourth Proportional to 5,807.60, 8,714.86 and 2,110.12

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Solution

The fourth proportional to 5,807.60, 8,714.86 and 2,110.12 is: 3,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.60 : 8,714.86 = 2,110.12 : x
  2. Step 2: Convert to fraction form
    5,807.60/8,714.86 = 2,110.12/x
  3. Step 3: Cross multiply
    5,807.60x = 8,714.86 × 2,110.12
  4. Step 4: Simplify right side
    5,807.60x = 18,389,400.38
  5. Step 5: Solve for x
    x = 18,389,400.38/5,807.60
  6. Step 6: Final answer
    x = 3,166.44

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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.