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Finding the Fourth Proportional to 4,557.84, 6,837.18 and 1,784.73

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Solution

The fourth proportional to 4,557.84, 6,837.18 and 1,784.73 is: 2,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.84 : 6,837.18 = 1,784.73 : x
  2. Step 2: Convert to fraction form
    4,557.84/6,837.18 = 1,784.73/x
  3. Step 3: Cross multiply
    4,557.84x = 6,837.18 × 1,784.73
  4. Step 4: Simplify right side
    4,557.84x = 12,202,520.26
  5. Step 5: Solve for x
    x = 12,202,520.26/4,557.84
  6. Step 6: Final answer
    x = 2,677.26

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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.