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Finding the Fourth Proportional to 3,497.56, 5,235.36 and 1,852

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Solution

The fourth proportional to 3,497.56, 5,235.36 and 1,852 is: 2,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.56 : 5,235.36 = 1,852 : x
  2. Step 2: Convert to fraction form
    3,497.56/5,235.36 = 1,852/x
  3. Step 3: Cross multiply
    3,497.56x = 5,235.36 × 1,852
  4. Step 4: Simplify right side
    3,497.56x = 9,695,886.72
  5. Step 5: Solve for x
    x = 9,695,886.72/3,497.56
  6. Step 6: Final answer
    x = 2,772.19

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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.