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Finding the Fourth Proportional to 3,830.22, 5,289.57 and 3,417.93

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Solution

The fourth proportional to 3,830.22, 5,289.57 and 3,417.93 is: 4,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.22 : 5,289.57 = 3,417.93 : x
  2. Step 2: Convert to fraction form
    3,830.22/5,289.57 = 3,417.93/x
  3. Step 3: Cross multiply
    3,830.22x = 5,289.57 × 3,417.93
  4. Step 4: Simplify right side
    3,830.22x = 18,079,379.99
  5. Step 5: Solve for x
    x = 18,079,379.99/3,830.22
  6. Step 6: Final answer
    x = 4,720.19

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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.