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Finding the Fourth Proportional to 3,607.86, 5,408.46 and 1,298.82

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Solution

The fourth proportional to 3,607.86, 5,408.46 and 1,298.82 is: 1,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.86 : 5,408.46 = 1,298.82 : x
  2. Step 2: Convert to fraction form
    3,607.86/5,408.46 = 1,298.82/x
  3. Step 3: Cross multiply
    3,607.86x = 5,408.46 × 1,298.82
  4. Step 4: Simplify right side
    3,607.86x = 7,024,616.02
  5. Step 5: Solve for x
    x = 7,024,616.02/3,607.86
  6. Step 6: Final answer
    x = 1,947.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.