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Finding the Fourth Proportional to 3,572.52, 5,355.54 and 1,837.50

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Solution

The fourth proportional to 3,572.52, 5,355.54 and 1,837.50 is: 2,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.52 : 5,355.54 = 1,837.50 : x
  2. Step 2: Convert to fraction form
    3,572.52/5,355.54 = 1,837.50/x
  3. Step 3: Cross multiply
    3,572.52x = 5,355.54 × 1,837.50
  4. Step 4: Simplify right side
    3,572.52x = 9,840,804.75
  5. Step 5: Solve for x
    x = 9,840,804.75/3,572.52
  6. Step 6: Final answer
    x = 2,754.58

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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.