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Finding the Fourth Proportional to 5,276.60, 7,905.30 and 4,297.40

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Solution

The fourth proportional to 5,276.60, 7,905.30 and 4,297.40 is: 6,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.60 : 7,905.30 = 4,297.40 : x
  2. Step 2: Convert to fraction form
    5,276.60/7,905.30 = 4,297.40/x
  3. Step 3: Cross multiply
    5,276.60x = 7,905.30 × 4,297.40
  4. Step 4: Simplify right side
    5,276.60x = 33,972,236.22
  5. Step 5: Solve for x
    x = 33,972,236.22/5,276.60
  6. Step 6: Final answer
    x = 6,438.28

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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.