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Finding the Fourth Proportional to 3,991.74, 5,988.02 and 1,528.64

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Solution

The fourth proportional to 3,991.74, 5,988.02 and 1,528.64 is: 2,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.74 : 5,988.02 = 1,528.64 : x
  2. Step 2: Convert to fraction form
    3,991.74/5,988.02 = 1,528.64/x
  3. Step 3: Cross multiply
    3,991.74x = 5,988.02 × 1,528.64
  4. Step 4: Simplify right side
    3,991.74x = 9,153,526.89
  5. Step 5: Solve for x
    x = 9,153,526.89/3,991.74
  6. Step 6: Final answer
    x = 2,293.12

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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.