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Finding the Fourth Proportional to 5,090.94, 6,972.86 and 4,792.06

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Solution

The fourth proportional to 5,090.94, 6,972.86 and 4,792.06 is: 6,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.94 : 6,972.86 = 4,792.06 : x
  2. Step 2: Convert to fraction form
    5,090.94/6,972.86 = 4,792.06/x
  3. Step 3: Cross multiply
    5,090.94x = 6,972.86 × 4,792.06
  4. Step 4: Simplify right side
    5,090.94x = 33,414,363.49
  5. Step 5: Solve for x
    x = 33,414,363.49/5,090.94
  6. Step 6: Final answer
    x = 6,563.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.