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Finding the Fourth Proportional to 4,597.21, 6,350.61 and 4,099.69

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Solution

The fourth proportional to 4,597.21, 6,350.61 and 4,099.69 is: 5,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.21 : 6,350.61 = 4,099.69 : x
  2. Step 2: Convert to fraction form
    4,597.21/6,350.61 = 4,099.69/x
  3. Step 3: Cross multiply
    4,597.21x = 6,350.61 × 4,099.69
  4. Step 4: Simplify right side
    4,597.21x = 26,035,532.31
  5. Step 5: Solve for x
    x = 26,035,532.31/4,597.21
  6. Step 6: Final answer
    x = 5,663.33

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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.