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Finding the Fourth Proportional to 5,483.84, 7,568.24 and 3,126.33

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Solution

The fourth proportional to 5,483.84, 7,568.24 and 3,126.33 is: 4,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.84 : 7,568.24 = 3,126.33 : x
  2. Step 2: Convert to fraction form
    5,483.84/7,568.24 = 3,126.33/x
  3. Step 3: Cross multiply
    5,483.84x = 7,568.24 × 3,126.33
  4. Step 4: Simplify right side
    5,483.84x = 23,660,800.13
  5. Step 5: Solve for x
    x = 23,660,800.13/5,483.84
  6. Step 6: Final answer
    x = 4,314.64

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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.