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Finding the Fourth Proportional to 5,988.78, 8,984.50 and 1,829.16

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Solution

The fourth proportional to 5,988.78, 8,984.50 and 1,829.16 is: 2,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.78 : 8,984.50 = 1,829.16 : x
  2. Step 2: Convert to fraction form
    5,988.78/8,984.50 = 1,829.16/x
  3. Step 3: Cross multiply
    5,988.78x = 8,984.50 × 1,829.16
  4. Step 4: Simplify right side
    5,988.78x = 16,434,088.02
  5. Step 5: Solve for x
    x = 16,434,088.02/5,988.78
  6. Step 6: Final answer
    x = 2,744.15

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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.