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Finding the Fourth Proportional to 4,656.36, 6,984.54 and 1,193.64

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Solution

The fourth proportional to 4,656.36, 6,984.54 and 1,193.64 is: 1,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.36 : 6,984.54 = 1,193.64 : x
  2. Step 2: Convert to fraction form
    4,656.36/6,984.54 = 1,193.64/x
  3. Step 3: Cross multiply
    4,656.36x = 6,984.54 × 1,193.64
  4. Step 4: Simplify right side
    4,656.36x = 8,337,026.33
  5. Step 5: Solve for x
    x = 8,337,026.33/4,656.36
  6. Step 6: Final answer
    x = 1,790.46

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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.