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Finding the Fourth Proportional to 6,477.20, 8,937 and 3,684.24

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Solution

The fourth proportional to 6,477.20, 8,937 and 3,684.24 is: 5,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.20 : 8,937 = 3,684.24 : x
  2. Step 2: Convert to fraction form
    6,477.20/8,937 = 3,684.24/x
  3. Step 3: Cross multiply
    6,477.20x = 8,937 × 3,684.24
  4. Step 4: Simplify right side
    6,477.20x = 32,926,052.88
  5. Step 5: Solve for x
    x = 32,926,052.88/6,477.20
  6. Step 6: Final answer
    x = 5,083.38

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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.