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Finding the Fourth Proportional to 4,633.84, 6,951.32 and 2,902.60

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Solution

The fourth proportional to 4,633.84, 6,951.32 and 2,902.60 is: 4,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.84 : 6,951.32 = 2,902.60 : x
  2. Step 2: Convert to fraction form
    4,633.84/6,951.32 = 2,902.60/x
  3. Step 3: Cross multiply
    4,633.84x = 6,951.32 × 2,902.60
  4. Step 4: Simplify right side
    4,633.84x = 20,176,901.43
  5. Step 5: Solve for x
    x = 20,176,901.43/4,633.84
  6. Step 6: Final answer
    x = 4,354.25

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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.