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Finding the Fourth Proportional to 4,762.72, 7,135.44 and 4,659.04

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Solution

The fourth proportional to 4,762.72, 7,135.44 and 4,659.04 is: 6,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.72 : 7,135.44 = 4,659.04 : x
  2. Step 2: Convert to fraction form
    4,762.72/7,135.44 = 4,659.04/x
  3. Step 3: Cross multiply
    4,762.72x = 7,135.44 × 4,659.04
  4. Step 4: Simplify right side
    4,762.72x = 33,244,300.38
  5. Step 5: Solve for x
    x = 33,244,300.38/4,762.72
  6. Step 6: Final answer
    x = 6,980.11

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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.