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Finding the Fourth Proportional to 3,009.57, 4,152.68 and 1,733.25

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Solution

The fourth proportional to 3,009.57, 4,152.68 and 1,733.25 is: 2,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.57 : 4,152.68 = 1,733.25 : x
  2. Step 2: Convert to fraction form
    3,009.57/4,152.68 = 1,733.25/x
  3. Step 3: Cross multiply
    3,009.57x = 4,152.68 × 1,733.25
  4. Step 4: Simplify right side
    3,009.57x = 7,197,623.94
  5. Step 5: Solve for x
    x = 7,197,623.94/3,009.57
  6. Step 6: Final answer
    x = 2,391.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.