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Finding the Fourth Proportional to 4,646.49, 6,407.31 and 3,584.43

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Solution

The fourth proportional to 4,646.49, 6,407.31 and 3,584.43 is: 4,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.49 : 6,407.31 = 3,584.43 : x
  2. Step 2: Convert to fraction form
    4,646.49/6,407.31 = 3,584.43/x
  3. Step 3: Cross multiply
    4,646.49x = 6,407.31 × 3,584.43
  4. Step 4: Simplify right side
    4,646.49x = 22,966,522.15
  5. Step 5: Solve for x
    x = 22,966,522.15/4,646.49
  6. Step 6: Final answer
    x = 4,942.77

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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.