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Finding the Fourth Proportional to 3,614.47, 5,421.61 and 1,666.67

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Solution

The fourth proportional to 3,614.47, 5,421.61 and 1,666.67 is: 2,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.47 : 5,421.61 = 1,666.67 : x
  2. Step 2: Convert to fraction form
    3,614.47/5,421.61 = 1,666.67/x
  3. Step 3: Cross multiply
    3,614.47x = 5,421.61 × 1,666.67
  4. Step 4: Simplify right side
    3,614.47x = 9,036,034.74
  5. Step 5: Solve for x
    x = 9,036,034.74/3,614.47
  6. Step 6: Final answer
    x = 2,499.96

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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.