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Finding the Fourth Proportional to 4,740.63, 6,520.19 and 4,150.14

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Solution

The fourth proportional to 4,740.63, 6,520.19 and 4,150.14 is: 5,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.63 : 6,520.19 = 4,150.14 : x
  2. Step 2: Convert to fraction form
    4,740.63/6,520.19 = 4,150.14/x
  3. Step 3: Cross multiply
    4,740.63x = 6,520.19 × 4,150.14
  4. Step 4: Simplify right side
    4,740.63x = 27,059,668.73
  5. Step 5: Solve for x
    x = 27,059,668.73/4,740.63
  6. Step 6: Final answer
    x = 5,708.04

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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.