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Finding the Fourth Proportional to 4,644.93, 6,970.82 and 3,084.42

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Solution

The fourth proportional to 4,644.93, 6,970.82 and 3,084.42 is: 4,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.93 : 6,970.82 = 3,084.42 : x
  2. Step 2: Convert to fraction form
    4,644.93/6,970.82 = 3,084.42/x
  3. Step 3: Cross multiply
    4,644.93x = 6,970.82 × 3,084.42
  4. Step 4: Simplify right side
    4,644.93x = 21,500,916.81
  5. Step 5: Solve for x
    x = 21,500,916.81/4,644.93
  6. Step 6: Final answer
    x = 4,628.90

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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.