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Finding the Fourth Proportional to 3,454.32, 5,181.80 and 1,146

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Solution

The fourth proportional to 3,454.32, 5,181.80 and 1,146 is: 1,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.32 : 5,181.80 = 1,146 : x
  2. Step 2: Convert to fraction form
    3,454.32/5,181.80 = 1,146/x
  3. Step 3: Cross multiply
    3,454.32x = 5,181.80 × 1,146
  4. Step 4: Simplify right side
    3,454.32x = 5,938,342.80
  5. Step 5: Solve for x
    x = 5,938,342.80/3,454.32
  6. Step 6: Final answer
    x = 1,719.11

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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.