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Finding the Fourth Proportional to 6,509.91, 8,984.47 and 3,677.41

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Solution

The fourth proportional to 6,509.91, 8,984.47 and 3,677.41 is: 5,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.91 : 8,984.47 = 3,677.41 : x
  2. Step 2: Convert to fraction form
    6,509.91/8,984.47 = 3,677.41/x
  3. Step 3: Cross multiply
    6,509.91x = 8,984.47 × 3,677.41
  4. Step 4: Simplify right side
    6,509.91x = 33,039,544.53
  5. Step 5: Solve for x
    x = 33,039,544.53/6,509.91
  6. Step 6: Final answer
    x = 5,075.27

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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.