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Finding the Fourth Proportional to 3,775.96, 5,652.96 and 2,458.28

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Solution

The fourth proportional to 3,775.96, 5,652.96 and 2,458.28 is: 3,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.96 : 5,652.96 = 2,458.28 : x
  2. Step 2: Convert to fraction form
    3,775.96/5,652.96 = 2,458.28/x
  3. Step 3: Cross multiply
    3,775.96x = 5,652.96 × 2,458.28
  4. Step 4: Simplify right side
    3,775.96x = 13,896,558.51
  5. Step 5: Solve for x
    x = 13,896,558.51/3,775.96
  6. Step 6: Final answer
    x = 3,680.27

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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.