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Finding the Fourth Proportional to 4,745.35, 7,119.02 and 1,783.82

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Solution

The fourth proportional to 4,745.35, 7,119.02 and 1,783.82 is: 2,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.35 : 7,119.02 = 1,783.82 : x
  2. Step 2: Convert to fraction form
    4,745.35/7,119.02 = 1,783.82/x
  3. Step 3: Cross multiply
    4,745.35x = 7,119.02 × 1,783.82
  4. Step 4: Simplify right side
    4,745.35x = 12,699,005.74
  5. Step 5: Solve for x
    x = 12,699,005.74/4,745.35
  6. Step 6: Final answer
    x = 2,676.10

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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.