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Finding the Fourth Proportional to 5,829.54, 8,045.65 and 3,706.80

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Solution

The fourth proportional to 5,829.54, 8,045.65 and 3,706.80 is: 5,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.54 : 8,045.65 = 3,706.80 : x
  2. Step 2: Convert to fraction form
    5,829.54/8,045.65 = 3,706.80/x
  3. Step 3: Cross multiply
    5,829.54x = 8,045.65 × 3,706.80
  4. Step 4: Simplify right side
    5,829.54x = 29,823,615.42
  5. Step 5: Solve for x
    x = 29,823,615.42/5,829.54
  6. Step 6: Final answer
    x = 5,115.95

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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.