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Finding the Fourth Proportional to 5,295.92, 7,308.78 and 2,938.28

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Solution

The fourth proportional to 5,295.92, 7,308.78 and 2,938.28 is: 4,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.92 : 7,308.78 = 2,938.28 : x
  2. Step 2: Convert to fraction form
    5,295.92/7,308.78 = 2,938.28/x
  3. Step 3: Cross multiply
    5,295.92x = 7,308.78 × 2,938.28
  4. Step 4: Simplify right side
    5,295.92x = 21,475,242.10
  5. Step 5: Solve for x
    x = 21,475,242.10/5,295.92
  6. Step 6: Final answer
    x = 4,055.05

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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.