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Finding the Fourth Proportional to 4,744.68, 7,101.48 and 4,289.96

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Solution

The fourth proportional to 4,744.68, 7,101.48 and 4,289.96 is: 6,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.68 : 7,101.48 = 4,289.96 : x
  2. Step 2: Convert to fraction form
    4,744.68/7,101.48 = 4,289.96/x
  3. Step 3: Cross multiply
    4,744.68x = 7,101.48 × 4,289.96
  4. Step 4: Simplify right side
    4,744.68x = 30,465,065.14
  5. Step 5: Solve for x
    x = 30,465,065.14/4,744.68
  6. Step 6: Final answer
    x = 6,420.89

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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.