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Finding the Fourth Proportional to 5,903.14, 8,130.54 and 4,408.68

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Solution

The fourth proportional to 5,903.14, 8,130.54 and 4,408.68 is: 6,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.14 : 8,130.54 = 4,408.68 : x
  2. Step 2: Convert to fraction form
    5,903.14/8,130.54 = 4,408.68/x
  3. Step 3: Cross multiply
    5,903.14x = 8,130.54 × 4,408.68
  4. Step 4: Simplify right side
    5,903.14x = 35,844,949.09
  5. Step 5: Solve for x
    x = 35,844,949.09/5,903.14
  6. Step 6: Final answer
    x = 6,072.18

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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.