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Finding the Fourth Proportional to 5,716.50, 7,892.01 and 4,316.82

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Solution

The fourth proportional to 5,716.50, 7,892.01 and 4,316.82 is: 5,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.50 : 7,892.01 = 4,316.82 : x
  2. Step 2: Convert to fraction form
    5,716.50/7,892.01 = 4,316.82/x
  3. Step 3: Cross multiply
    5,716.50x = 7,892.01 × 4,316.82
  4. Step 4: Simplify right side
    5,716.50x = 34,068,386.61
  5. Step 5: Solve for x
    x = 34,068,386.61/5,716.50
  6. Step 6: Final answer
    x = 5,959.66

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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.