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Finding the Fourth Proportional to 4,407.89, 6,614.46 and 1,776.67

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Solution

The fourth proportional to 4,407.89, 6,614.46 and 1,776.67 is: 2,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.89 : 6,614.46 = 1,776.67 : x
  2. Step 2: Convert to fraction form
    4,407.89/6,614.46 = 1,776.67/x
  3. Step 3: Cross multiply
    4,407.89x = 6,614.46 × 1,776.67
  4. Step 4: Simplify right side
    4,407.89x = 11,751,696.11
  5. Step 5: Solve for x
    x = 11,751,696.11/4,407.89
  6. Step 6: Final answer
    x = 2,666.06

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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.