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Finding the Fourth Proportional to 5,954.28, 8,929.14 and 2,057.64

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Solution

The fourth proportional to 5,954.28, 8,929.14 and 2,057.64 is: 3,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.28 : 8,929.14 = 2,057.64 : x
  2. Step 2: Convert to fraction form
    5,954.28/8,929.14 = 2,057.64/x
  3. Step 3: Cross multiply
    5,954.28x = 8,929.14 × 2,057.64
  4. Step 4: Simplify right side
    5,954.28x = 18,372,955.63
  5. Step 5: Solve for x
    x = 18,372,955.63/5,954.28
  6. Step 6: Final answer
    x = 3,085.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.