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Finding the Fourth Proportional to 6,217.04, 8,577.81 and 4,326.50

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Solution

The fourth proportional to 6,217.04, 8,577.81 and 4,326.50 is: 5,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.04 : 8,577.81 = 4,326.50 : x
  2. Step 2: Convert to fraction form
    6,217.04/8,577.81 = 4,326.50/x
  3. Step 3: Cross multiply
    6,217.04x = 8,577.81 × 4,326.50
  4. Step 4: Simplify right side
    6,217.04x = 37,111,852.08
  5. Step 5: Solve for x
    x = 37,111,852.08/6,217.04
  6. Step 6: Final answer
    x = 5,969.38

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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.