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Finding the Fourth Proportional to 4,889.56, 7,334.10 and 1,602.22

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Solution

The fourth proportional to 4,889.56, 7,334.10 and 1,602.22 is: 2,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.56 : 7,334.10 = 1,602.22 : x
  2. Step 2: Convert to fraction form
    4,889.56/7,334.10 = 1,602.22/x
  3. Step 3: Cross multiply
    4,889.56x = 7,334.10 × 1,602.22
  4. Step 4: Simplify right side
    4,889.56x = 11,750,841.70
  5. Step 5: Solve for x
    x = 11,750,841.70/4,889.56
  6. Step 6: Final answer
    x = 2,403.25

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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.