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Finding the Fourth Proportional to 3,237.78, 4,856.16 and 1,157.46

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Solution

The fourth proportional to 3,237.78, 4,856.16 and 1,157.46 is: 1,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.78 : 4,856.16 = 1,157.46 : x
  2. Step 2: Convert to fraction form
    3,237.78/4,856.16 = 1,157.46/x
  3. Step 3: Cross multiply
    3,237.78x = 4,856.16 × 1,157.46
  4. Step 4: Simplify right side
    3,237.78x = 5,620,810.95
  5. Step 5: Solve for x
    x = 5,620,810.95/3,237.78
  6. Step 6: Final answer
    x = 1,736.01

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