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Finding the Fourth Proportional to 4,160.58, 6,238.72 and 1,527.41

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Solution

The fourth proportional to 4,160.58, 6,238.72 and 1,527.41 is: 2,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.58 : 6,238.72 = 1,527.41 : x
  2. Step 2: Convert to fraction form
    4,160.58/6,238.72 = 1,527.41/x
  3. Step 3: Cross multiply
    4,160.58x = 6,238.72 × 1,527.41
  4. Step 4: Simplify right side
    4,160.58x = 9,529,071.70
  5. Step 5: Solve for x
    x = 9,529,071.70/4,160.58
  6. Step 6: Final answer
    x = 2,290.32

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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.