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Finding the Fourth Proportional to 5,736.36, 7,916.70 and 3,498.36

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Solution

The fourth proportional to 5,736.36, 7,916.70 and 3,498.36 is: 4,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.36 : 7,916.70 = 3,498.36 : x
  2. Step 2: Convert to fraction form
    5,736.36/7,916.70 = 3,498.36/x
  3. Step 3: Cross multiply
    5,736.36x = 7,916.70 × 3,498.36
  4. Step 4: Simplify right side
    5,736.36x = 27,695,466.61
  5. Step 5: Solve for x
    x = 27,695,466.61/5,736.36
  6. Step 6: Final answer
    x = 4,828.06

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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.