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Finding the Fourth Proportional to 3,614.60, 5,423.46 and 1,536.01

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Solution

The fourth proportional to 3,614.60, 5,423.46 and 1,536.01 is: 2,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.60 : 5,423.46 = 1,536.01 : x
  2. Step 2: Convert to fraction form
    3,614.60/5,423.46 = 1,536.01/x
  3. Step 3: Cross multiply
    3,614.60x = 5,423.46 × 1,536.01
  4. Step 4: Simplify right side
    3,614.60x = 8,330,461.68
  5. Step 5: Solve for x
    x = 8,330,461.68/3,614.60
  6. Step 6: Final answer
    x = 2,304.67

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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.