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Finding the Fourth Proportional to 4,300.80, 6,489.60 and 4,156.80

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Solution

The fourth proportional to 4,300.80, 6,489.60 and 4,156.80 is: 6,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.80 : 6,489.60 = 4,156.80 : x
  2. Step 2: Convert to fraction form
    4,300.80/6,489.60 = 4,156.80/x
  3. Step 3: Cross multiply
    4,300.80x = 6,489.60 × 4,156.80
  4. Step 4: Simplify right side
    4,300.80x = 26,975,969.28
  5. Step 5: Solve for x
    x = 26,975,969.28/4,300.80
  6. Step 6: Final answer
    x = 6,272.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.