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Finding the Fourth Proportional to 5,702, 8,536.36 and 4,053.36

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Solution

The fourth proportional to 5,702, 8,536.36 and 4,053.36 is: 6,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702 : 8,536.36 = 4,053.36 : x
  2. Step 2: Convert to fraction form
    5,702/8,536.36 = 4,053.36/x
  3. Step 3: Cross multiply
    5,702x = 8,536.36 × 4,053.36
  4. Step 4: Simplify right side
    5,702x = 34,600,940.17
  5. Step 5: Solve for x
    x = 34,600,940.17/5,702
  6. Step 6: Final answer
    x = 6,068.21

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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.