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Finding the Fourth Proportional to 4,881.96, 7,324.74 and 1,762.20

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Solution

The fourth proportional to 4,881.96, 7,324.74 and 1,762.20 is: 2,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.96 : 7,324.74 = 1,762.20 : x
  2. Step 2: Convert to fraction form
    4,881.96/7,324.74 = 1,762.20/x
  3. Step 3: Cross multiply
    4,881.96x = 7,324.74 × 1,762.20
  4. Step 4: Simplify right side
    4,881.96x = 12,907,656.83
  5. Step 5: Solve for x
    x = 12,907,656.83/4,881.96
  6. Step 6: Final answer
    x = 2,643.95

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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.