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Finding the Fourth Proportional to 5,107.86, 7,660.71 and 2,606.58

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Solution

The fourth proportional to 5,107.86, 7,660.71 and 2,606.58 is: 3,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.86 : 7,660.71 = 2,606.58 : x
  2. Step 2: Convert to fraction form
    5,107.86/7,660.71 = 2,606.58/x
  3. Step 3: Cross multiply
    5,107.86x = 7,660.71 × 2,606.58
  4. Step 4: Simplify right side
    5,107.86x = 19,968,253.47
  5. Step 5: Solve for x
    x = 19,968,253.47/5,107.86
  6. Step 6: Final answer
    x = 3,909.32

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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.