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Finding the Fourth Proportional to 5,984.70, 8,977.05 and 2,088.60

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Solution

The fourth proportional to 5,984.70, 8,977.05 and 2,088.60 is: 3,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.70 : 8,977.05 = 2,088.60 : x
  2. Step 2: Convert to fraction form
    5,984.70/8,977.05 = 2,088.60/x
  3. Step 3: Cross multiply
    5,984.70x = 8,977.05 × 2,088.60
  4. Step 4: Simplify right side
    5,984.70x = 18,749,466.63
  5. Step 5: Solve for x
    x = 18,749,466.63/5,984.70
  6. Step 6: Final answer
    x = 3,132.90

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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.