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Finding the Fourth Proportional to 4,645.92, 6,968.88 and 1,908

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Solution

The fourth proportional to 4,645.92, 6,968.88 and 1,908 is: 2,862

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.92 : 6,968.88 = 1,908 : x
  2. Step 2: Convert to fraction form
    4,645.92/6,968.88 = 1,908/x
  3. Step 3: Cross multiply
    4,645.92x = 6,968.88 × 1,908
  4. Step 4: Simplify right side
    4,645.92x = 13,296,623.04
  5. Step 5: Solve for x
    x = 13,296,623.04/4,645.92
  6. Step 6: Final answer
    x = 2,862

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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.