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Finding the Fourth Proportional to 3,852.06, 5,780.28 and 1,904.46

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Solution

The fourth proportional to 3,852.06, 5,780.28 and 1,904.46 is: 2,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.06 : 5,780.28 = 1,904.46 : x
  2. Step 2: Convert to fraction form
    3,852.06/5,780.28 = 1,904.46/x
  3. Step 3: Cross multiply
    3,852.06x = 5,780.28 × 1,904.46
  4. Step 4: Simplify right side
    3,852.06x = 11,008,312.05
  5. Step 5: Solve for x
    x = 11,008,312.05/3,852.06
  6. Step 6: Final answer
    x = 2,857.77

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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.