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Finding the Fourth Proportional to 4,709.46, 6,498.21 and 3,052.50

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Solution

The fourth proportional to 4,709.46, 6,498.21 and 3,052.50 is: 4,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.46 : 6,498.21 = 3,052.50 : x
  2. Step 2: Convert to fraction form
    4,709.46/6,498.21 = 3,052.50/x
  3. Step 3: Cross multiply
    4,709.46x = 6,498.21 × 3,052.50
  4. Step 4: Simplify right side
    4,709.46x = 19,835,786.03
  5. Step 5: Solve for x
    x = 19,835,786.03/4,709.46
  6. Step 6: Final answer
    x = 4,211.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.