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Finding the Fourth Proportional to 5,989.62, 8,985.90 and 1,829.70

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Solution

The fourth proportional to 5,989.62, 8,985.90 and 1,829.70 is: 2,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.62 : 8,985.90 = 1,829.70 : x
  2. Step 2: Convert to fraction form
    5,989.62/8,985.90 = 1,829.70/x
  3. Step 3: Cross multiply
    5,989.62x = 8,985.90 × 1,829.70
  4. Step 4: Simplify right side
    5,989.62x = 16,441,501.23
  5. Step 5: Solve for x
    x = 16,441,501.23/5,989.62
  6. Step 6: Final answer
    x = 2,745.00

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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.