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Finding the Fourth Proportional to 3,733.84, 5,152.69 and 2,055.30

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Solution

The fourth proportional to 3,733.84, 5,152.69 and 2,055.30 is: 2,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.84 : 5,152.69 = 2,055.30 : x
  2. Step 2: Convert to fraction form
    3,733.84/5,152.69 = 2,055.30/x
  3. Step 3: Cross multiply
    3,733.84x = 5,152.69 × 2,055.30
  4. Step 4: Simplify right side
    3,733.84x = 10,590,323.76
  5. Step 5: Solve for x
    x = 10,590,323.76/3,733.84
  6. Step 6: Final answer
    x = 2,836.31

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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.