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Finding the Fourth Proportional to 4,953.40, 7,431.46 and 4,409.39

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Solution

The fourth proportional to 4,953.40, 7,431.46 and 4,409.39 is: 6,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.40 : 7,431.46 = 4,409.39 : x
  2. Step 2: Convert to fraction form
    4,953.40/7,431.46 = 4,409.39/x
  3. Step 3: Cross multiply
    4,953.40x = 7,431.46 × 4,409.39
  4. Step 4: Simplify right side
    4,953.40x = 32,768,212.96
  5. Step 5: Solve for x
    x = 32,768,212.96/4,953.40
  6. Step 6: Final answer
    x = 6,615.30

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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.