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Finding the Fourth Proportional to 4,506.58, 6,219.20 and 2,828.06

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Solution

The fourth proportional to 4,506.58, 6,219.20 and 2,828.06 is: 3,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.58 : 6,219.20 = 2,828.06 : x
  2. Step 2: Convert to fraction form
    4,506.58/6,219.20 = 2,828.06/x
  3. Step 3: Cross multiply
    4,506.58x = 6,219.20 × 2,828.06
  4. Step 4: Simplify right side
    4,506.58x = 17,588,270.75
  5. Step 5: Solve for x
    x = 17,588,270.75/4,506.58
  6. Step 6: Final answer
    x = 3,902.80

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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.