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Finding the Fourth Proportional to 5,027.46, 7,539.71 and 1,905.21

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Solution

The fourth proportional to 5,027.46, 7,539.71 and 1,905.21 is: 2,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.46 : 7,539.71 = 1,905.21 : x
  2. Step 2: Convert to fraction form
    5,027.46/7,539.71 = 1,905.21/x
  3. Step 3: Cross multiply
    5,027.46x = 7,539.71 × 1,905.21
  4. Step 4: Simplify right side
    5,027.46x = 14,364,730.89
  5. Step 5: Solve for x
    x = 14,364,730.89/5,027.46
  6. Step 6: Final answer
    x = 2,857.25

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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.