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Finding the Fourth Proportional to 4,673.96, 6,976.72 and 4,120.40

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Solution

The fourth proportional to 4,673.96, 6,976.72 and 4,120.40 is: 6,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.96 : 6,976.72 = 4,120.40 : x
  2. Step 2: Convert to fraction form
    4,673.96/6,976.72 = 4,120.40/x
  3. Step 3: Cross multiply
    4,673.96x = 6,976.72 × 4,120.40
  4. Step 4: Simplify right side
    4,673.96x = 28,746,877.09
  5. Step 5: Solve for x
    x = 28,746,877.09/4,673.96
  6. Step 6: Final answer
    x = 6,150.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.