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Finding the Fourth Proportional to 4,645.92, 6,412.15 and 2,968.16

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Solution

The fourth proportional to 4,645.92, 6,412.15 and 2,968.16 is: 4,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.92 : 6,412.15 = 2,968.16 : x
  2. Step 2: Convert to fraction form
    4,645.92/6,412.15 = 2,968.16/x
  3. Step 3: Cross multiply
    4,645.92x = 6,412.15 × 2,968.16
  4. Step 4: Simplify right side
    4,645.92x = 19,032,278.17
  5. Step 5: Solve for x
    x = 19,032,278.17/4,645.92
  6. Step 6: Final answer
    x = 4,096.55

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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.