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Finding the Fourth Proportional to 5,955.12, 8,193.96 and 5,802.48

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Solution

The fourth proportional to 5,955.12, 8,193.96 and 5,802.48 is: 7,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.12 : 8,193.96 = 5,802.48 : x
  2. Step 2: Convert to fraction form
    5,955.12/8,193.96 = 5,802.48/x
  3. Step 3: Cross multiply
    5,955.12x = 8,193.96 × 5,802.48
  4. Step 4: Simplify right side
    5,955.12x = 47,545,289.02
  5. Step 5: Solve for x
    x = 47,545,289.02/5,955.12
  6. Step 6: Final answer
    x = 7,983.93

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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.