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Finding the Fourth Proportional to 5,134.25, 7,688.25 and 4,095.77

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Solution

The fourth proportional to 5,134.25, 7,688.25 and 4,095.77 is: 6,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.25 : 7,688.25 = 4,095.77 : x
  2. Step 2: Convert to fraction form
    5,134.25/7,688.25 = 4,095.77/x
  3. Step 3: Cross multiply
    5,134.25x = 7,688.25 × 4,095.77
  4. Step 4: Simplify right side
    5,134.25x = 31,489,265.26
  5. Step 5: Solve for x
    x = 31,489,265.26/5,134.25
  6. Step 6: Final answer
    x = 6,133.17

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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.