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Finding the Fourth Proportional to 3,830.13, 5,706.70 and 3,578.67

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Solution

The fourth proportional to 3,830.13, 5,706.70 and 3,578.67 is: 5,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.13 : 5,706.70 = 3,578.67 : x
  2. Step 2: Convert to fraction form
    3,830.13/5,706.70 = 3,578.67/x
  3. Step 3: Cross multiply
    3,830.13x = 5,706.70 × 3,578.67
  4. Step 4: Simplify right side
    3,830.13x = 20,422,387.14
  5. Step 5: Solve for x
    x = 20,422,387.14/3,830.13
  6. Step 6: Final answer
    x = 5,332.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.