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Finding the Fourth Proportional to 4,758.45, 7,130.64 and 4,239.45

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Solution

The fourth proportional to 4,758.45, 7,130.64 and 4,239.45 is: 6,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.45 : 7,130.64 = 4,239.45 : x
  2. Step 2: Convert to fraction form
    4,758.45/7,130.64 = 4,239.45/x
  3. Step 3: Cross multiply
    4,758.45x = 7,130.64 × 4,239.45
  4. Step 4: Simplify right side
    4,758.45x = 30,229,991.75
  5. Step 5: Solve for x
    x = 30,229,991.75/4,758.45
  6. Step 6: Final answer
    x = 6,352.91

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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.