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Finding the Fourth Proportional to 5,678.46, 8,506.62 and 3,205.80

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Solution

The fourth proportional to 5,678.46, 8,506.62 and 3,205.80 is: 4,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.46 : 8,506.62 = 3,205.80 : x
  2. Step 2: Convert to fraction form
    5,678.46/8,506.62 = 3,205.80/x
  3. Step 3: Cross multiply
    5,678.46x = 8,506.62 × 3,205.80
  4. Step 4: Simplify right side
    5,678.46x = 27,270,522.40
  5. Step 5: Solve for x
    x = 27,270,522.40/5,678.46
  6. Step 6: Final answer
    x = 4,802.45

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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.