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Finding the Fourth Proportional to 5,906.16, 8,097.51 and 5,800.86

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Solution

The fourth proportional to 5,906.16, 8,097.51 and 5,800.86 is: 7,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.16 : 8,097.51 = 5,800.86 : x
  2. Step 2: Convert to fraction form
    5,906.16/8,097.51 = 5,800.86/x
  3. Step 3: Cross multiply
    5,906.16x = 8,097.51 × 5,800.86
  4. Step 4: Simplify right side
    5,906.16x = 46,972,521.86
  5. Step 5: Solve for x
    x = 46,972,521.86/5,906.16
  6. Step 6: Final answer
    x = 7,953.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.