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Finding the Fourth Proportional to 4,397.69, 6,070.10 and 3,071.82

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Solution

The fourth proportional to 4,397.69, 6,070.10 and 3,071.82 is: 4,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.69 : 6,070.10 = 3,071.82 : x
  2. Step 2: Convert to fraction form
    4,397.69/6,070.10 = 3,071.82/x
  3. Step 3: Cross multiply
    4,397.69x = 6,070.10 × 3,071.82
  4. Step 4: Simplify right side
    4,397.69x = 18,646,239.22
  5. Step 5: Solve for x
    x = 18,646,239.22/4,397.69
  6. Step 6: Final answer
    x = 4,240.01

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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.