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Finding the Fourth Proportional to 4,645.92, 6,969.65 and 1,872.36

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Solution

The fourth proportional to 4,645.92, 6,969.65 and 1,872.36 is: 2,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.92 : 6,969.65 = 1,872.36 : x
  2. Step 2: Convert to fraction form
    4,645.92/6,969.65 = 1,872.36/x
  3. Step 3: Cross multiply
    4,645.92x = 6,969.65 × 1,872.36
  4. Step 4: Simplify right side
    4,645.92x = 13,049,664.91
  5. Step 5: Solve for x
    x = 13,049,664.91/4,645.92
  6. Step 6: Final answer
    x = 2,808.84

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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.