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Finding the Fourth Proportional to 5,967.69, 8,235.37 and 3,315.10

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Solution

The fourth proportional to 5,967.69, 8,235.37 and 3,315.10 is: 4,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.69 : 8,235.37 = 3,315.10 : x
  2. Step 2: Convert to fraction form
    5,967.69/8,235.37 = 3,315.10/x
  3. Step 3: Cross multiply
    5,967.69x = 8,235.37 × 3,315.10
  4. Step 4: Simplify right side
    5,967.69x = 27,301,075.09
  5. Step 5: Solve for x
    x = 27,301,075.09/5,967.69
  6. Step 6: Final answer
    x = 4,574.81

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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.