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Finding the Fourth Proportional to 3,460.64, 5,191.72 and 1,269.32

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Solution

The fourth proportional to 3,460.64, 5,191.72 and 1,269.32 is: 1,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.64 : 5,191.72 = 1,269.32 : x
  2. Step 2: Convert to fraction form
    3,460.64/5,191.72 = 1,269.32/x
  3. Step 3: Cross multiply
    3,460.64x = 5,191.72 × 1,269.32
  4. Step 4: Simplify right side
    3,460.64x = 6,589,954.03
  5. Step 5: Solve for x
    x = 6,589,954.03/3,460.64
  6. Step 6: Final answer
    x = 1,904.26

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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.