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Finding the Fourth Proportional to 3,347.87, 5,023.55 and 1,594.82

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Solution

The fourth proportional to 3,347.87, 5,023.55 and 1,594.82 is: 2,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.87 : 5,023.55 = 1,594.82 : x
  2. Step 2: Convert to fraction form
    3,347.87/5,023.55 = 1,594.82/x
  3. Step 3: Cross multiply
    3,347.87x = 5,023.55 × 1,594.82
  4. Step 4: Simplify right side
    3,347.87x = 8,011,674.56
  5. Step 5: Solve for x
    x = 8,011,674.56/3,347.87
  6. Step 6: Final answer
    x = 2,393.07

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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.