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Finding the Fourth Proportional to 5,968.64, 8,954.04 and 2,074.16

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Solution

The fourth proportional to 5,968.64, 8,954.04 and 2,074.16 is: 3,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.64 : 8,954.04 = 2,074.16 : x
  2. Step 2: Convert to fraction form
    5,968.64/8,954.04 = 2,074.16/x
  3. Step 3: Cross multiply
    5,968.64x = 8,954.04 × 2,074.16
  4. Step 4: Simplify right side
    5,968.64x = 18,572,111.61
  5. Step 5: Solve for x
    x = 18,572,111.61/5,968.64
  6. Step 6: Final answer
    x = 3,111.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.