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Finding the Fourth Proportional to 3,652.05, 5,477.31 and 1,054.38

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Solution

The fourth proportional to 3,652.05, 5,477.31 and 1,054.38 is: 1,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.05 : 5,477.31 = 1,054.38 : x
  2. Step 2: Convert to fraction form
    3,652.05/5,477.31 = 1,054.38/x
  3. Step 3: Cross multiply
    3,652.05x = 5,477.31 × 1,054.38
  4. Step 4: Simplify right side
    3,652.05x = 5,775,166.12
  5. Step 5: Solve for x
    x = 5,775,166.12/3,652.05
  6. Step 6: Final answer
    x = 1,581.35

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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.