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Finding the Fourth Proportional to 5,289.90, 7,300.02 and 2,932.05

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Solution

The fourth proportional to 5,289.90, 7,300.02 and 2,932.05 is: 4,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.90 : 7,300.02 = 2,932.05 : x
  2. Step 2: Convert to fraction form
    5,289.90/7,300.02 = 2,932.05/x
  3. Step 3: Cross multiply
    5,289.90x = 7,300.02 × 2,932.05
  4. Step 4: Simplify right side
    5,289.90x = 21,404,023.64
  5. Step 5: Solve for x
    x = 21,404,023.64/5,289.90
  6. Step 6: Final answer
    x = 4,046.21

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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.