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Finding the Fourth Proportional to 5,322.82, 7,345.65 and 3,085.06

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Solution

The fourth proportional to 5,322.82, 7,345.65 and 3,085.06 is: 4,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.82 : 7,345.65 = 3,085.06 : x
  2. Step 2: Convert to fraction form
    5,322.82/7,345.65 = 3,085.06/x
  3. Step 3: Cross multiply
    5,322.82x = 7,345.65 × 3,085.06
  4. Step 4: Simplify right side
    5,322.82x = 22,661,770.99
  5. Step 5: Solve for x
    x = 22,661,770.99/5,322.82
  6. Step 6: Final answer
    x = 4,257.47

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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.