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Finding the Fourth Proportional to 5,834.45, 8,051.75 and 3,316.99

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Solution

The fourth proportional to 5,834.45, 8,051.75 and 3,316.99 is: 4,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.45 : 8,051.75 = 3,316.99 : x
  2. Step 2: Convert to fraction form
    5,834.45/8,051.75 = 3,316.99/x
  3. Step 3: Cross multiply
    5,834.45x = 8,051.75 × 3,316.99
  4. Step 4: Simplify right side
    5,834.45x = 26,707,574.23
  5. Step 5: Solve for x
    x = 26,707,574.23/5,834.45
  6. Step 6: Final answer
    x = 4,577.57

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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.