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Finding the Fourth Proportional to 3,804.99, 5,707.50 and 1,172.48

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Solution

The fourth proportional to 3,804.99, 5,707.50 and 1,172.48 is: 1,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.99 : 5,707.50 = 1,172.48 : x
  2. Step 2: Convert to fraction form
    3,804.99/5,707.50 = 1,172.48/x
  3. Step 3: Cross multiply
    3,804.99x = 5,707.50 × 1,172.48
  4. Step 4: Simplify right side
    3,804.99x = 6,691,901.06
  5. Step 5: Solve for x
    x = 6,691,901.06/3,804.99
  6. Step 6: Final answer
    x = 1,758.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.