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Finding the Fourth Proportional to 4,823.69, 7,234.65 and 1,706.00

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Solution

The fourth proportional to 4,823.69, 7,234.65 and 1,706.00 is: 2,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.69 : 7,234.65 = 1,706.00 : x
  2. Step 2: Convert to fraction form
    4,823.69/7,234.65 = 1,706.00/x
  3. Step 3: Cross multiply
    4,823.69x = 7,234.65 × 1,706.00
  4. Step 4: Simplify right side
    4,823.69x = 12,342,276.73
  5. Step 5: Solve for x
    x = 12,342,276.73/4,823.69
  6. Step 6: Final answer
    x = 2,558.68

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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.