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Finding the Fourth Proportional to 3,735.77, 5,602.31 and 1,236.50

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Solution

The fourth proportional to 3,735.77, 5,602.31 and 1,236.50 is: 1,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.77 : 5,602.31 = 1,236.50 : x
  2. Step 2: Convert to fraction form
    3,735.77/5,602.31 = 1,236.50/x
  3. Step 3: Cross multiply
    3,735.77x = 5,602.31 × 1,236.50
  4. Step 4: Simplify right side
    3,735.77x = 6,927,222.12
  5. Step 5: Solve for x
    x = 6,927,222.12/3,735.77
  6. Step 6: Final answer
    x = 1,854.30

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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.