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Finding the Fourth Proportional to 6,571.77, 9,070.20 and 3,919.35

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Solution

The fourth proportional to 6,571.77, 9,070.20 and 3,919.35 is: 5,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.77 : 9,070.20 = 3,919.35 : x
  2. Step 2: Convert to fraction form
    6,571.77/9,070.20 = 3,919.35/x
  3. Step 3: Cross multiply
    6,571.77x = 9,070.20 × 3,919.35
  4. Step 4: Simplify right side
    6,571.77x = 35,549,288.37
  5. Step 5: Solve for x
    x = 35,549,288.37/6,571.77
  6. Step 6: Final answer
    x = 5,409.39

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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.