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Finding the Fourth Proportional to 3,980.58, 5,970.87 and 1,058.90

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Solution

The fourth proportional to 3,980.58, 5,970.87 and 1,058.90 is: 1,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.58 : 5,970.87 = 1,058.90 : x
  2. Step 2: Convert to fraction form
    3,980.58/5,970.87 = 1,058.90/x
  3. Step 3: Cross multiply
    3,980.58x = 5,970.87 × 1,058.90
  4. Step 4: Simplify right side
    3,980.58x = 6,322,524.39
  5. Step 5: Solve for x
    x = 6,322,524.39/3,980.58
  6. Step 6: Final answer
    x = 1,588.34

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1.5x scale

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.