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Finding the Fourth Proportional to 6,094.99, 8,411.46 and 3,706.64

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Solution

The fourth proportional to 6,094.99, 8,411.46 and 3,706.64 is: 5,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.99 : 8,411.46 = 3,706.64 : x
  2. Step 2: Convert to fraction form
    6,094.99/8,411.46 = 3,706.64/x
  3. Step 3: Cross multiply
    6,094.99x = 8,411.46 × 3,706.64
  4. Step 4: Simplify right side
    6,094.99x = 31,178,254.09
  5. Step 5: Solve for x
    x = 31,178,254.09/6,094.99
  6. Step 6: Final answer
    x = 5,115.39

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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.