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Finding the Fourth Proportional to 4,602.80, 6,352.45 and 3,427.22

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Solution

The fourth proportional to 4,602.80, 6,352.45 and 3,427.22 is: 4,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.80 : 6,352.45 = 3,427.22 : x
  2. Step 2: Convert to fraction form
    4,602.80/6,352.45 = 3,427.22/x
  3. Step 3: Cross multiply
    4,602.80x = 6,352.45 × 3,427.22
  4. Step 4: Simplify right side
    4,602.80x = 21,771,243.69
  5. Step 5: Solve for x
    x = 21,771,243.69/4,602.80
  6. Step 6: Final answer
    x = 4,730.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.