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Finding the Fourth Proportional to 5,323.40, 7,345.44 and 3,084.84

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Solution

The fourth proportional to 5,323.40, 7,345.44 and 3,084.84 is: 4,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.40 : 7,345.44 = 3,084.84 : x
  2. Step 2: Convert to fraction form
    5,323.40/7,345.44 = 3,084.84/x
  3. Step 3: Cross multiply
    5,323.40x = 7,345.44 × 3,084.84
  4. Step 4: Simplify right side
    5,323.40x = 22,659,507.13
  5. Step 5: Solve for x
    x = 22,659,507.13/5,323.40
  6. Step 6: Final answer
    x = 4,256.59

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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.