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Finding the Fourth Proportional to 4,646.15, 6,411 and 2,757.81

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Solution

The fourth proportional to 4,646.15, 6,411 and 2,757.81 is: 3,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.15 : 6,411 = 2,757.81 : x
  2. Step 2: Convert to fraction form
    4,646.15/6,411 = 2,757.81/x
  3. Step 3: Cross multiply
    4,646.15x = 6,411 × 2,757.81
  4. Step 4: Simplify right side
    4,646.15x = 17,680,319.91
  5. Step 5: Solve for x
    x = 17,680,319.91/4,646.15
  6. Step 6: Final answer
    x = 3,805.37

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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.