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Finding the Fourth Proportional to 5,295.66, 7,308.48 and 2,938.26

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Solution

The fourth proportional to 5,295.66, 7,308.48 and 2,938.26 is: 4,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.66 : 7,308.48 = 2,938.26 : x
  2. Step 2: Convert to fraction form
    5,295.66/7,308.48 = 2,938.26/x
  3. Step 3: Cross multiply
    5,295.66x = 7,308.48 × 2,938.26
  4. Step 4: Simplify right side
    5,295.66x = 21,474,214.44
  5. Step 5: Solve for x
    x = 21,474,214.44/5,295.66
  6. Step 6: Final answer
    x = 4,055.06

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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.