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Finding the Fourth Proportional to 3,454.35, 5,182.18 and 1,893.50

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Solution

The fourth proportional to 3,454.35, 5,182.18 and 1,893.50 is: 2,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.35 : 5,182.18 = 1,893.50 : x
  2. Step 2: Convert to fraction form
    3,454.35/5,182.18 = 1,893.50/x
  3. Step 3: Cross multiply
    3,454.35x = 5,182.18 × 1,893.50
  4. Step 4: Simplify right side
    3,454.35x = 9,812,461.19
  5. Step 5: Solve for x
    x = 9,812,461.19/3,454.35
  6. Step 6: Final answer
    x = 2,840.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.