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Finding the Fourth Proportional to 5,133.02, 7,664.89 and 5,078.75

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Solution

The fourth proportional to 5,133.02, 7,664.89 and 5,078.75 is: 7,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.02 : 7,664.89 = 5,078.75 : x
  2. Step 2: Convert to fraction form
    5,133.02/7,664.89 = 5,078.75/x
  3. Step 3: Cross multiply
    5,133.02x = 7,664.89 × 5,078.75
  4. Step 4: Simplify right side
    5,133.02x = 38,928,068.85
  5. Step 5: Solve for x
    x = 38,928,068.85/5,133.02
  6. Step 6: Final answer
    x = 7,583.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.