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Finding the Fourth Proportional to 5,970.96, 8,944.11 and 4,653.32

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Solution

The fourth proportional to 5,970.96, 8,944.11 and 4,653.32 is: 6,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.96 : 8,944.11 = 4,653.32 : x
  2. Step 2: Convert to fraction form
    5,970.96/8,944.11 = 4,653.32/x
  3. Step 3: Cross multiply
    5,970.96x = 8,944.11 × 4,653.32
  4. Step 4: Simplify right side
    5,970.96x = 41,619,761.22
  5. Step 5: Solve for x
    x = 41,619,761.22/5,970.96
  6. Step 6: Final answer
    x = 6,970.36

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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.