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Finding the Fourth Proportional to 5,343.40, 7,996.20 and 4,657.60

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Solution

The fourth proportional to 5,343.40, 7,996.20 and 4,657.60 is: 6,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.40 : 7,996.20 = 4,657.60 : x
  2. Step 2: Convert to fraction form
    5,343.40/7,996.20 = 4,657.60/x
  3. Step 3: Cross multiply
    5,343.40x = 7,996.20 × 4,657.60
  4. Step 4: Simplify right side
    5,343.40x = 37,243,101.12
  5. Step 5: Solve for x
    x = 37,243,101.12/5,343.40
  6. Step 6: Final answer
    x = 6,969.93

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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.