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Finding the Fourth Proportional to 5,970.64, 8,240.38 and 4,297.58

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Solution

The fourth proportional to 5,970.64, 8,240.38 and 4,297.58 is: 5,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.64 : 8,240.38 = 4,297.58 : x
  2. Step 2: Convert to fraction form
    5,970.64/8,240.38 = 4,297.58/x
  3. Step 3: Cross multiply
    5,970.64x = 8,240.38 × 4,297.58
  4. Step 4: Simplify right side
    5,970.64x = 35,413,692.28
  5. Step 5: Solve for x
    x = 35,413,692.28/5,970.64
  6. Step 6: Final answer
    x = 5,931.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.