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Finding the Fourth Proportional to 5,651.10, 7,804.62 and 4,406.94

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Solution

The fourth proportional to 5,651.10, 7,804.62 and 4,406.94 is: 6,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.10 : 7,804.62 = 4,406.94 : x
  2. Step 2: Convert to fraction form
    5,651.10/7,804.62 = 4,406.94/x
  3. Step 3: Cross multiply
    5,651.10x = 7,804.62 × 4,406.94
  4. Step 4: Simplify right side
    5,651.10x = 34,394,492.06
  5. Step 5: Solve for x
    x = 34,394,492.06/5,651.10
  6. Step 6: Final answer
    x = 6,086.34

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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.