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Finding the Fourth Proportional to 4,976.96, 6,869.28 and 3,320

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Solution

The fourth proportional to 4,976.96, 6,869.28 and 3,320 is: 4,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.96 : 6,869.28 = 3,320 : x
  2. Step 2: Convert to fraction form
    4,976.96/6,869.28 = 3,320/x
  3. Step 3: Cross multiply
    4,976.96x = 6,869.28 × 3,320
  4. Step 4: Simplify right side
    4,976.96x = 22,806,009.60
  5. Step 5: Solve for x
    x = 22,806,009.60/4,976.96
  6. Step 6: Final answer
    x = 4,582.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.