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Finding the Fourth Proportional to 4,185.78, 6,281.46 and 1,877.28

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Solution

The fourth proportional to 4,185.78, 6,281.46 and 1,877.28 is: 2,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.78 : 6,281.46 = 1,877.28 : x
  2. Step 2: Convert to fraction form
    4,185.78/6,281.46 = 1,877.28/x
  3. Step 3: Cross multiply
    4,185.78x = 6,281.46 × 1,877.28
  4. Step 4: Simplify right side
    4,185.78x = 11,792,059.23
  5. Step 5: Solve for x
    x = 11,792,059.23/4,185.78
  6. Step 6: Final answer
    x = 2,817.17

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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.