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Finding the Fourth Proportional to 4,769.48, 7,147.85 and 3,008.95

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Solution

The fourth proportional to 4,769.48, 7,147.85 and 3,008.95 is: 4,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.48 : 7,147.85 = 3,008.95 : x
  2. Step 2: Convert to fraction form
    4,769.48/7,147.85 = 3,008.95/x
  3. Step 3: Cross multiply
    4,769.48x = 7,147.85 × 3,008.95
  4. Step 4: Simplify right side
    4,769.48x = 21,507,490.34
  5. Step 5: Solve for x
    x = 21,507,490.34/4,769.48
  6. Step 6: Final answer
    x = 4,509.40

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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.