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Finding the Fourth Proportional to 4,607.47, 6,912.25 and 1,685.78

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Solution

The fourth proportional to 4,607.47, 6,912.25 and 1,685.78 is: 2,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.47 : 6,912.25 = 1,685.78 : x
  2. Step 2: Convert to fraction form
    4,607.47/6,912.25 = 1,685.78/x
  3. Step 3: Cross multiply
    4,607.47x = 6,912.25 × 1,685.78
  4. Step 4: Simplify right side
    4,607.47x = 11,652,529.43
  5. Step 5: Solve for x
    x = 11,652,529.43/4,607.47
  6. Step 6: Final answer
    x = 2,529.05

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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.