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Finding the Fourth Proportional to 6,105.79, 9,152.50 and 2,406.58

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Solution

The fourth proportional to 6,105.79, 9,152.50 and 2,406.58 is: 3,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.79 : 9,152.50 = 2,406.58 : x
  2. Step 2: Convert to fraction form
    6,105.79/9,152.50 = 2,406.58/x
  3. Step 3: Cross multiply
    6,105.79x = 9,152.50 × 2,406.58
  4. Step 4: Simplify right side
    6,105.79x = 22,026,223.45
  5. Step 5: Solve for x
    x = 22,026,223.45/6,105.79
  6. Step 6: Final answer
    x = 3,607.43

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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.