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Finding the Fourth Proportional to 3,820.32, 5,704.61 and 3,031.47

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Solution

The fourth proportional to 3,820.32, 5,704.61 and 3,031.47 is: 4,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.32 : 5,704.61 = 3,031.47 : x
  2. Step 2: Convert to fraction form
    3,820.32/5,704.61 = 3,031.47/x
  3. Step 3: Cross multiply
    3,820.32x = 5,704.61 × 3,031.47
  4. Step 4: Simplify right side
    3,820.32x = 17,293,333.13
  5. Step 5: Solve for x
    x = 17,293,333.13/3,820.32
  6. Step 6: Final answer
    x = 4,526.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.