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Finding the Fourth Proportional to 3,890.34, 5,368.77 and 2,297.07

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Solution

The fourth proportional to 3,890.34, 5,368.77 and 2,297.07 is: 3,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.34 : 5,368.77 = 2,297.07 : x
  2. Step 2: Convert to fraction form
    3,890.34/5,368.77 = 2,297.07/x
  3. Step 3: Cross multiply
    3,890.34x = 5,368.77 × 2,297.07
  4. Step 4: Simplify right side
    3,890.34x = 12,332,440.50
  5. Step 5: Solve for x
    x = 12,332,440.50/3,890.34
  6. Step 6: Final answer
    x = 3,170.02

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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.