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Finding the Fourth Proportional to 4,666.05, 7,002.72 and 1,745.19

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Solution

The fourth proportional to 4,666.05, 7,002.72 and 1,745.19 is: 2,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.05 : 7,002.72 = 1,745.19 : x
  2. Step 2: Convert to fraction form
    4,666.05/7,002.72 = 1,745.19/x
  3. Step 3: Cross multiply
    4,666.05x = 7,002.72 × 1,745.19
  4. Step 4: Simplify right side
    4,666.05x = 12,221,076.92
  5. Step 5: Solve for x
    x = 12,221,076.92/4,666.05
  6. Step 6: Final answer
    x = 2,619.15

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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.