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Finding the Fourth Proportional to 5,970.85, 8,945.25 and 3,005.86

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Solution

The fourth proportional to 5,970.85, 8,945.25 and 3,005.86 is: 4,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.85 : 8,945.25 = 3,005.86 : x
  2. Step 2: Convert to fraction form
    5,970.85/8,945.25 = 3,005.86/x
  3. Step 3: Cross multiply
    5,970.85x = 8,945.25 × 3,005.86
  4. Step 4: Simplify right side
    5,970.85x = 26,888,169.17
  5. Step 5: Solve for x
    x = 26,888,169.17/5,970.85
  6. Step 6: Final answer
    x = 4,503.24

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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.