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Finding the Fourth Proportional to 4,627.32, 6,940.74 and 1,705.38

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Solution

The fourth proportional to 4,627.32, 6,940.74 and 1,705.38 is: 2,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.32 : 6,940.74 = 1,705.38 : x
  2. Step 2: Convert to fraction form
    4,627.32/6,940.74 = 1,705.38/x
  3. Step 3: Cross multiply
    4,627.32x = 6,940.74 × 1,705.38
  4. Step 4: Simplify right side
    4,627.32x = 11,836,599.18
  5. Step 5: Solve for x
    x = 11,836,599.18/4,627.32
  6. Step 6: Final answer
    x = 2,557.98

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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.