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Finding the Fourth Proportional to 5,969.02, 8,909.71 and 5,529.19

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Solution

The fourth proportional to 5,969.02, 8,909.71 and 5,529.19 is: 8,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.02 : 8,909.71 = 5,529.19 : x
  2. Step 2: Convert to fraction form
    5,969.02/8,909.71 = 5,529.19/x
  3. Step 3: Cross multiply
    5,969.02x = 8,909.71 × 5,529.19
  4. Step 4: Simplify right side
    5,969.02x = 49,263,464.07
  5. Step 5: Solve for x
    x = 49,263,464.07/5,969.02
  6. Step 6: Final answer
    x = 8,253.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.