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Finding the Fourth Proportional to 5,243.82, 7,852.70 and 3,045.89

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Solution

The fourth proportional to 5,243.82, 7,852.70 and 3,045.89 is: 4,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.82 : 7,852.70 = 3,045.89 : x
  2. Step 2: Convert to fraction form
    5,243.82/7,852.70 = 3,045.89/x
  3. Step 3: Cross multiply
    5,243.82x = 7,852.70 × 3,045.89
  4. Step 4: Simplify right side
    5,243.82x = 23,918,405.91
  5. Step 5: Solve for x
    x = 23,918,405.91/5,243.82
  6. Step 6: Final answer
    x = 4,561.26

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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.