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Finding the Fourth Proportional to 6,239.34, 8,611.07 and 4,000.40

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Solution

The fourth proportional to 6,239.34, 8,611.07 and 4,000.40 is: 5,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.34 : 8,611.07 = 4,000.40 : x
  2. Step 2: Convert to fraction form
    6,239.34/8,611.07 = 4,000.40/x
  3. Step 3: Cross multiply
    6,239.34x = 8,611.07 × 4,000.40
  4. Step 4: Simplify right side
    6,239.34x = 34,447,661.37
  5. Step 5: Solve for x
    x = 34,447,661.37/6,239.34
  6. Step 6: Final answer
    x = 5,521.04

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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.