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Finding the Fourth Proportional to 3,837.07, 5,752.55 and 3,529.54

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Solution

The fourth proportional to 3,837.07, 5,752.55 and 3,529.54 is: 5,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.07 : 5,752.55 = 3,529.54 : x
  2. Step 2: Convert to fraction form
    3,837.07/5,752.55 = 3,529.54/x
  3. Step 3: Cross multiply
    3,837.07x = 5,752.55 × 3,529.54
  4. Step 4: Simplify right side
    3,837.07x = 20,303,871.34
  5. Step 5: Solve for x
    x = 20,303,871.34/3,837.07
  6. Step 6: Final answer
    x = 5,291.50

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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.