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Finding the Fourth Proportional to 3,533.76, 4,876.54 and 1,961.86

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Solution

The fourth proportional to 3,533.76, 4,876.54 and 1,961.86 is: 2,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.76 : 4,876.54 = 1,961.86 : x
  2. Step 2: Convert to fraction form
    3,533.76/4,876.54 = 1,961.86/x
  3. Step 3: Cross multiply
    3,533.76x = 4,876.54 × 1,961.86
  4. Step 4: Simplify right side
    3,533.76x = 9,567,088.76
  5. Step 5: Solve for x
    x = 9,567,088.76/3,533.76
  6. Step 6: Final answer
    x = 2,707.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.