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Finding the Fourth Proportional to 3,895.47, 5,373.99 and 2,830.50

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Solution

The fourth proportional to 3,895.47, 5,373.99 and 2,830.50 is: 3,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.47 : 5,373.99 = 2,830.50 : x
  2. Step 2: Convert to fraction form
    3,895.47/5,373.99 = 2,830.50/x
  3. Step 3: Cross multiply
    3,895.47x = 5,373.99 × 2,830.50
  4. Step 4: Simplify right side
    3,895.47x = 15,211,078.70
  5. Step 5: Solve for x
    x = 15,211,078.70/3,895.47
  6. Step 6: Final answer
    x = 3,904.81

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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.