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Finding the Fourth Proportional to 5,275.34, 7,913.43 and 1,765.37

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Solution

The fourth proportional to 5,275.34, 7,913.43 and 1,765.37 is: 2,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.34 : 7,913.43 = 1,765.37 : x
  2. Step 2: Convert to fraction form
    5,275.34/7,913.43 = 1,765.37/x
  3. Step 3: Cross multiply
    5,275.34x = 7,913.43 × 1,765.37
  4. Step 4: Simplify right side
    5,275.34x = 13,970,107.19
  5. Step 5: Solve for x
    x = 13,970,107.19/5,275.34
  6. Step 6: Final answer
    x = 2,648.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.