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Finding the Fourth Proportional to 4,902.46, 7,353.71 and 1,204.69

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Solution

The fourth proportional to 4,902.46, 7,353.71 and 1,204.69 is: 1,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.46 : 7,353.71 = 1,204.69 : x
  2. Step 2: Convert to fraction form
    4,902.46/7,353.71 = 1,204.69/x
  3. Step 3: Cross multiply
    4,902.46x = 7,353.71 × 1,204.69
  4. Step 4: Simplify right side
    4,902.46x = 8,858,925.53
  5. Step 5: Solve for x
    x = 8,858,925.53/4,902.46
  6. Step 6: Final answer
    x = 1,807.04

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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.