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Finding the Fourth Proportional to 6,004.16, 8,990.50 and 4,239.66

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Solution

The fourth proportional to 6,004.16, 8,990.50 and 4,239.66 is: 6,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.16 : 8,990.50 = 4,239.66 : x
  2. Step 2: Convert to fraction form
    6,004.16/8,990.50 = 4,239.66/x
  3. Step 3: Cross multiply
    6,004.16x = 8,990.50 × 4,239.66
  4. Step 4: Simplify right side
    6,004.16x = 38,116,663.23
  5. Step 5: Solve for x
    x = 38,116,663.23/6,004.16
  6. Step 6: Final answer
    x = 6,348.38

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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.