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Finding the Fourth Proportional to 3,464.59, 5,198.94 and 1,385.58

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Solution

The fourth proportional to 3,464.59, 5,198.94 and 1,385.58 is: 2,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.59 : 5,198.94 = 1,385.58 : x
  2. Step 2: Convert to fraction form
    3,464.59/5,198.94 = 1,385.58/x
  3. Step 3: Cross multiply
    3,464.59x = 5,198.94 × 1,385.58
  4. Step 4: Simplify right side
    3,464.59x = 7,203,547.29
  5. Step 5: Solve for x
    x = 7,203,547.29/3,464.59
  6. Step 6: Final answer
    x = 2,079.19

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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.