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Finding the Fourth Proportional to 5,676.47, 7,820.75 and 4,257.95

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Solution

The fourth proportional to 5,676.47, 7,820.75 and 4,257.95 is: 5,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.47 : 7,820.75 = 4,257.95 : x
  2. Step 2: Convert to fraction form
    5,676.47/7,820.75 = 4,257.95/x
  3. Step 3: Cross multiply
    5,676.47x = 7,820.75 × 4,257.95
  4. Step 4: Simplify right side
    5,676.47x = 33,300,302.07
  5. Step 5: Solve for x
    x = 33,300,302.07/5,676.47
  6. Step 6: Final answer
    x = 5,866.38

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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.