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Finding the Fourth Proportional to 4,645.64, 6,968.36 and 1,872.23

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Solution

The fourth proportional to 4,645.64, 6,968.36 and 1,872.23 is: 2,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.64 : 6,968.36 = 1,872.23 : x
  2. Step 2: Convert to fraction form
    4,645.64/6,968.36 = 1,872.23/x
  3. Step 3: Cross multiply
    4,645.64x = 6,968.36 × 1,872.23
  4. Step 4: Simplify right side
    4,645.64x = 13,046,372.64
  5. Step 5: Solve for x
    x = 13,046,372.64/4,645.64
  6. Step 6: Final answer
    x = 2,808.31

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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.