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Finding the Fourth Proportional to 4,536.81, 6,263.70 and 3,699.52

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Solution

The fourth proportional to 4,536.81, 6,263.70 and 3,699.52 is: 5,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.81 : 6,263.70 = 3,699.52 : x
  2. Step 2: Convert to fraction form
    4,536.81/6,263.70 = 3,699.52/x
  3. Step 3: Cross multiply
    4,536.81x = 6,263.70 × 3,699.52
  4. Step 4: Simplify right side
    4,536.81x = 23,172,720.34
  5. Step 5: Solve for x
    x = 23,172,720.34/4,536.81
  6. Step 6: Final answer
    x = 5,107.71

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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.