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Finding the Fourth Proportional to 3,347.81, 5,023.43 and 1,594.80

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Solution

The fourth proportional to 3,347.81, 5,023.43 and 1,594.80 is: 2,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.81 : 5,023.43 = 1,594.80 : x
  2. Step 2: Convert to fraction form
    3,347.81/5,023.43 = 1,594.80/x
  3. Step 3: Cross multiply
    3,347.81x = 5,023.43 × 1,594.80
  4. Step 4: Simplify right side
    3,347.81x = 8,011,333.07
  5. Step 5: Solve for x
    x = 8,011,333.07/3,347.81
  6. Step 6: Final answer
    x = 2,393.01

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