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Finding the Fourth Proportional to 4,362.80, 6,548.18 and 2,284.20

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Solution

The fourth proportional to 4,362.80, 6,548.18 and 2,284.20 is: 3,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.80 : 6,548.18 = 2,284.20 : x
  2. Step 2: Convert to fraction form
    4,362.80/6,548.18 = 2,284.20/x
  3. Step 3: Cross multiply
    4,362.80x = 6,548.18 × 2,284.20
  4. Step 4: Simplify right side
    4,362.80x = 14,957,341.34
  5. Step 5: Solve for x
    x = 14,957,341.34/4,362.80
  6. Step 6: Final answer
    x = 3,428.39

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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.