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Finding the Fourth Proportional to 5,322.82, 7,346.22 and 3,085.40

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Solution

The fourth proportional to 5,322.82, 7,346.22 and 3,085.40 is: 4,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.82 : 7,346.22 = 3,085.40 : x
  2. Step 2: Convert to fraction form
    5,322.82/7,346.22 = 3,085.40/x
  3. Step 3: Cross multiply
    5,322.82x = 7,346.22 × 3,085.40
  4. Step 4: Simplify right side
    5,322.82x = 22,666,027.19
  5. Step 5: Solve for x
    x = 22,666,027.19/5,322.82
  6. Step 6: Final answer
    x = 4,258.27

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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.