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Finding the Fourth Proportional to 5,240.69, 7,897.04 and 4,336.59

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Solution

The fourth proportional to 5,240.69, 7,897.04 and 4,336.59 is: 6,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.69 : 7,897.04 = 4,336.59 : x
  2. Step 2: Convert to fraction form
    5,240.69/7,897.04 = 4,336.59/x
  3. Step 3: Cross multiply
    5,240.69x = 7,897.04 × 4,336.59
  4. Step 4: Simplify right side
    5,240.69x = 34,246,203.01
  5. Step 5: Solve for x
    x = 34,246,203.01/5,240.69
  6. Step 6: Final answer
    x = 6,534.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.