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Finding the Fourth Proportional to 6,503.70, 8,974.35 and 3,851.22

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Solution

The fourth proportional to 6,503.70, 8,974.35 and 3,851.22 is: 5,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.70 : 8,974.35 = 3,851.22 : x
  2. Step 2: Convert to fraction form
    6,503.70/8,974.35 = 3,851.22/x
  3. Step 3: Cross multiply
    6,503.70x = 8,974.35 × 3,851.22
  4. Step 4: Simplify right side
    6,503.70x = 34,562,196.21
  5. Step 5: Solve for x
    x = 34,562,196.21/6,503.70
  6. Step 6: Final answer
    x = 5,314.24

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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.