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Finding the Fourth Proportional to 5,185.28, 7,155.76 and 2,827.46

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Solution

The fourth proportional to 5,185.28, 7,155.76 and 2,827.46 is: 3,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.28 : 7,155.76 = 2,827.46 : x
  2. Step 2: Convert to fraction form
    5,185.28/7,155.76 = 2,827.46/x
  3. Step 3: Cross multiply
    5,185.28x = 7,155.76 × 2,827.46
  4. Step 4: Simplify right side
    5,185.28x = 20,232,625.17
  5. Step 5: Solve for x
    x = 20,232,625.17/5,185.28
  6. Step 6: Final answer
    x = 3,901.93

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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.