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Finding the Fourth Proportional to 4,903.76, 6,766.62 and 2,914.40

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Solution

The fourth proportional to 4,903.76, 6,766.62 and 2,914.40 is: 4,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.76 : 6,766.62 = 2,914.40 : x
  2. Step 2: Convert to fraction form
    4,903.76/6,766.62 = 2,914.40/x
  3. Step 3: Cross multiply
    4,903.76x = 6,766.62 × 2,914.40
  4. Step 4: Simplify right side
    4,903.76x = 19,720,637.33
  5. Step 5: Solve for x
    x = 19,720,637.33/4,903.76
  6. Step 6: Final answer
    x = 4,021.53

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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.