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Finding the Fourth Proportional to 4,696.92, 6,484.32 and 3,207.06

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Solution

The fourth proportional to 4,696.92, 6,484.32 and 3,207.06 is: 4,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.92 : 6,484.32 = 3,207.06 : x
  2. Step 2: Convert to fraction form
    4,696.92/6,484.32 = 3,207.06/x
  3. Step 3: Cross multiply
    4,696.92x = 6,484.32 × 3,207.06
  4. Step 4: Simplify right side
    4,696.92x = 20,795,603.30
  5. Step 5: Solve for x
    x = 20,795,603.30/4,696.92
  6. Step 6: Final answer
    x = 4,427.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.