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Finding the Fourth Proportional to 3,969.60, 5,946.30 and 1,883.28

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Solution

The fourth proportional to 3,969.60, 5,946.30 and 1,883.28 is: 2,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.60 : 5,946.30 = 1,883.28 : x
  2. Step 2: Convert to fraction form
    3,969.60/5,946.30 = 1,883.28/x
  3. Step 3: Cross multiply
    3,969.60x = 5,946.30 × 1,883.28
  4. Step 4: Simplify right side
    3,969.60x = 11,198,547.86
  5. Step 5: Solve for x
    x = 11,198,547.86/3,969.60
  6. Step 6: Final answer
    x = 2,821.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.