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Finding the Fourth Proportional to 6,574.23, 9,072.03 and 3,589.47

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Solution

The fourth proportional to 6,574.23, 9,072.03 and 3,589.47 is: 4,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.23 : 9,072.03 = 3,589.47 : x
  2. Step 2: Convert to fraction form
    6,574.23/9,072.03 = 3,589.47/x
  3. Step 3: Cross multiply
    6,574.23x = 9,072.03 × 3,589.47
  4. Step 4: Simplify right side
    6,574.23x = 32,563,779.52
  5. Step 5: Solve for x
    x = 32,563,779.52/6,574.23
  6. Step 6: Final answer
    x = 4,953.25

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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.