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Finding the Fourth Proportional to 4,301.65, 6,441.54 and 3,004.03

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Solution

The fourth proportional to 4,301.65, 6,441.54 and 3,004.03 is: 4,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.65 : 6,441.54 = 3,004.03 : x
  2. Step 2: Convert to fraction form
    4,301.65/6,441.54 = 3,004.03/x
  3. Step 3: Cross multiply
    4,301.65x = 6,441.54 × 3,004.03
  4. Step 4: Simplify right side
    4,301.65x = 19,350,579.41
  5. Step 5: Solve for x
    x = 19,350,579.41/4,301.65
  6. Step 6: Final answer
    x = 4,498.41

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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.