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Finding the Fourth Proportional to 3,434.54, 5,151.76 and 1,094.52

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Solution

The fourth proportional to 3,434.54, 5,151.76 and 1,094.52 is: 1,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.54 : 5,151.76 = 1,094.52 : x
  2. Step 2: Convert to fraction form
    3,434.54/5,151.76 = 1,094.52/x
  3. Step 3: Cross multiply
    3,434.54x = 5,151.76 × 1,094.52
  4. Step 4: Simplify right side
    3,434.54x = 5,638,686.25
  5. Step 5: Solve for x
    x = 5,638,686.25/3,434.54
  6. Step 6: Final answer
    x = 1,641.76

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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.