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Finding the Fourth Proportional to 5,336.76, 8,009.16 and 3,704.64

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Solution

The fourth proportional to 5,336.76, 8,009.16 and 3,704.64 is: 5,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.76 : 8,009.16 = 3,704.64 : x
  2. Step 2: Convert to fraction form
    5,336.76/8,009.16 = 3,704.64/x
  3. Step 3: Cross multiply
    5,336.76x = 8,009.16 × 3,704.64
  4. Step 4: Simplify right side
    5,336.76x = 29,671,054.50
  5. Step 5: Solve for x
    x = 29,671,054.50/5,336.76
  6. Step 6: Final answer
    x = 5,559.75

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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.