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Finding the Fourth Proportional to 4,651.35, 6,409.31 and 4,323.21

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Solution

The fourth proportional to 4,651.35, 6,409.31 and 4,323.21 is: 5,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.35 : 6,409.31 = 4,323.21 : x
  2. Step 2: Convert to fraction form
    4,651.35/6,409.31 = 4,323.21/x
  3. Step 3: Cross multiply
    4,651.35x = 6,409.31 × 4,323.21
  4. Step 4: Simplify right side
    4,651.35x = 27,708,771.47
  5. Step 5: Solve for x
    x = 27,708,771.47/4,651.35
  6. Step 6: Final answer
    x = 5,957.15

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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.