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Finding the Fourth Proportional to 4,776.54, 7,165.29 and 1,488.75

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Solution

The fourth proportional to 4,776.54, 7,165.29 and 1,488.75 is: 2,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.54 : 7,165.29 = 1,488.75 : x
  2. Step 2: Convert to fraction form
    4,776.54/7,165.29 = 1,488.75/x
  3. Step 3: Cross multiply
    4,776.54x = 7,165.29 × 1,488.75
  4. Step 4: Simplify right side
    4,776.54x = 10,667,325.49
  5. Step 5: Solve for x
    x = 10,667,325.49/4,776.54
  6. Step 6: Final answer
    x = 2,233.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.