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Finding the Fourth Proportional to 6,189.57, 9,283.41 and 2,030.00

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Solution

The fourth proportional to 6,189.57, 9,283.41 and 2,030.00 is: 3,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.57 : 9,283.41 = 2,030.00 : x
  2. Step 2: Convert to fraction form
    6,189.57/9,283.41 = 2,030.00/x
  3. Step 3: Cross multiply
    6,189.57x = 9,283.41 × 2,030.00
  4. Step 4: Simplify right side
    6,189.57x = 18,845,275.88
  5. Step 5: Solve for x
    x = 18,845,275.88/6,189.57
  6. Step 6: Final answer
    x = 3,044.68

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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.