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Finding the Fourth Proportional to 6,023.40, 9,034.06 and 1,640.28

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Solution

The fourth proportional to 6,023.40, 9,034.06 and 1,640.28 is: 2,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.40 : 9,034.06 = 1,640.28 : x
  2. Step 2: Convert to fraction form
    6,023.40/9,034.06 = 1,640.28/x
  3. Step 3: Cross multiply
    6,023.40x = 9,034.06 × 1,640.28
  4. Step 4: Simplify right side
    6,023.40x = 14,818,387.94
  5. Step 5: Solve for x
    x = 14,818,387.94/6,023.40
  6. Step 6: Final answer
    x = 2,460.14

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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.