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Finding the Fourth Proportional to 5,984.08, 8,967.61 and 4,411.72

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Solution

The fourth proportional to 5,984.08, 8,967.61 and 4,411.72 is: 6,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.08 : 8,967.61 = 4,411.72 : x
  2. Step 2: Convert to fraction form
    5,984.08/8,967.61 = 4,411.72/x
  3. Step 3: Cross multiply
    5,984.08x = 8,967.61 × 4,411.72
  4. Step 4: Simplify right side
    5,984.08x = 39,562,550.67
  5. Step 5: Solve for x
    x = 39,562,550.67/5,984.08
  6. Step 6: Final answer
    x = 6,611.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.