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Finding the Fourth Proportional to 3,138.08, 4,707.18 and 829.64

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Solution

The fourth proportional to 3,138.08, 4,707.18 and 829.64 is: 1,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.08 : 4,707.18 = 829.64 : x
  2. Step 2: Convert to fraction form
    3,138.08/4,707.18 = 829.64/x
  3. Step 3: Cross multiply
    3,138.08x = 4,707.18 × 829.64
  4. Step 4: Simplify right side
    3,138.08x = 3,905,264.82
  5. Step 5: Solve for x
    x = 3,905,264.82/3,138.08
  6. Step 6: Final answer
    x = 1,244.48

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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.