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Finding the Fourth Proportional to 5,032.56, 7,550.67 and 1,746.60

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Solution

The fourth proportional to 5,032.56, 7,550.67 and 1,746.60 is: 2,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.56 : 7,550.67 = 1,746.60 : x
  2. Step 2: Convert to fraction form
    5,032.56/7,550.67 = 1,746.60/x
  3. Step 3: Cross multiply
    5,032.56x = 7,550.67 × 1,746.60
  4. Step 4: Simplify right side
    5,032.56x = 13,188,000.22
  5. Step 5: Solve for x
    x = 13,188,000.22/5,032.56
  6. Step 6: Final answer
    x = 2,620.54

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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.