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Finding the Fourth Proportional to 5,729.27, 8,594.84 and 2,030.70

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Solution

The fourth proportional to 5,729.27, 8,594.84 and 2,030.70 is: 3,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.27 : 8,594.84 = 2,030.70 : x
  2. Step 2: Convert to fraction form
    5,729.27/8,594.84 = 2,030.70/x
  3. Step 3: Cross multiply
    5,729.27x = 8,594.84 × 2,030.70
  4. Step 4: Simplify right side
    5,729.27x = 17,453,541.59
  5. Step 5: Solve for x
    x = 17,453,541.59/5,729.27
  6. Step 6: Final answer
    x = 3,046.38

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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.