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Finding the Fourth Proportional to 4,563.60, 6,845.40 and 4,534.80

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Solution

The fourth proportional to 4,563.60, 6,845.40 and 4,534.80 is: 6,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.60 : 6,845.40 = 4,534.80 : x
  2. Step 2: Convert to fraction form
    4,563.60/6,845.40 = 4,534.80/x
  3. Step 3: Cross multiply
    4,563.60x = 6,845.40 × 4,534.80
  4. Step 4: Simplify right side
    4,563.60x = 31,042,519.92
  5. Step 5: Solve for x
    x = 31,042,519.92/4,563.60
  6. Step 6: Final answer
    x = 6,802.20

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