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Finding the Fourth Proportional to 5,968.32, 8,956.81 and 2,681.90

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Solution

The fourth proportional to 5,968.32, 8,956.81 and 2,681.90 is: 4,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.32 : 8,956.81 = 2,681.90 : x
  2. Step 2: Convert to fraction form
    5,968.32/8,956.81 = 2,681.90/x
  3. Step 3: Cross multiply
    5,968.32x = 8,956.81 × 2,681.90
  4. Step 4: Simplify right side
    5,968.32x = 24,021,268.74
  5. Step 5: Solve for x
    x = 24,021,268.74/5,968.32
  6. Step 6: Final answer
    x = 4,024.80

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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.