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Finding the Fourth Proportional to 3,394.22, 5,091.64 and 929.06

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Solution

The fourth proportional to 3,394.22, 5,091.64 and 929.06 is: 1,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.22 : 5,091.64 = 929.06 : x
  2. Step 2: Convert to fraction form
    3,394.22/5,091.64 = 929.06/x
  3. Step 3: Cross multiply
    3,394.22x = 5,091.64 × 929.06
  4. Step 4: Simplify right side
    3,394.22x = 4,730,411.28
  5. Step 5: Solve for x
    x = 4,730,411.28/3,394.22
  6. Step 6: Final answer
    x = 1,393.67

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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.