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Finding the Fourth Proportional to 4,696.02, 6,499.17 and 4,035.06

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Solution

The fourth proportional to 4,696.02, 6,499.17 and 4,035.06 is: 5,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.02 : 6,499.17 = 4,035.06 : x
  2. Step 2: Convert to fraction form
    4,696.02/6,499.17 = 4,035.06/x
  3. Step 3: Cross multiply
    4,696.02x = 6,499.17 × 4,035.06
  4. Step 4: Simplify right side
    4,696.02x = 26,224,540.90
  5. Step 5: Solve for x
    x = 26,224,540.90/4,696.02
  6. Step 6: Final answer
    x = 5,584.42

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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.