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Finding the Fourth Proportional to 5,352.90, 8,025.34 and 1,652.96

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Solution

The fourth proportional to 5,352.90, 8,025.34 and 1,652.96 is: 2,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.90 : 8,025.34 = 1,652.96 : x
  2. Step 2: Convert to fraction form
    5,352.90/8,025.34 = 1,652.96/x
  3. Step 3: Cross multiply
    5,352.90x = 8,025.34 × 1,652.96
  4. Step 4: Simplify right side
    5,352.90x = 13,265,566.01
  5. Step 5: Solve for x
    x = 13,265,566.01/5,352.90
  6. Step 6: Final answer
    x = 2,478.20

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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.