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Finding the Fourth Proportional to 5,284.89, 7,293.39 and 3,047.28

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Solution

The fourth proportional to 5,284.89, 7,293.39 and 3,047.28 is: 4,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.89 : 7,293.39 = 3,047.28 : x
  2. Step 2: Convert to fraction form
    5,284.89/7,293.39 = 3,047.28/x
  3. Step 3: Cross multiply
    5,284.89x = 7,293.39 × 3,047.28
  4. Step 4: Simplify right side
    5,284.89x = 22,225,001.48
  5. Step 5: Solve for x
    x = 22,225,001.48/5,284.89
  6. Step 6: Final answer
    x = 4,205.39

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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.