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Finding the Fourth Proportional to 3,775.01, 5,209.31 and 2,828.93

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Solution

The fourth proportional to 3,775.01, 5,209.31 and 2,828.93 is: 3,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.01 : 5,209.31 = 2,828.93 : x
  2. Step 2: Convert to fraction form
    3,775.01/5,209.31 = 2,828.93/x
  3. Step 3: Cross multiply
    3,775.01x = 5,209.31 × 2,828.93
  4. Step 4: Simplify right side
    3,775.01x = 14,736,754.36
  5. Step 5: Solve for x
    x = 14,736,754.36/3,775.01
  6. Step 6: Final answer
    x = 3,903.77

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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.