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Finding the Fourth Proportional to 3,652.63, 5,478.37 and 1,312.27

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Solution

The fourth proportional to 3,652.63, 5,478.37 and 1,312.27 is: 1,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.63 : 5,478.37 = 1,312.27 : x
  2. Step 2: Convert to fraction form
    3,652.63/5,478.37 = 1,312.27/x
  3. Step 3: Cross multiply
    3,652.63x = 5,478.37 × 1,312.27
  4. Step 4: Simplify right side
    3,652.63x = 7,189,083.62
  5. Step 5: Solve for x
    x = 7,189,083.62/3,652.63
  6. Step 6: Final answer
    x = 1,968.20

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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.