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Finding the Fourth Proportional to 5,984, 8,977.44 and 1,880

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Solution

The fourth proportional to 5,984, 8,977.44 and 1,880 is: 2,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984 : 8,977.44 = 1,880 : x
  2. Step 2: Convert to fraction form
    5,984/8,977.44 = 1,880/x
  3. Step 3: Cross multiply
    5,984x = 8,977.44 × 1,880
  4. Step 4: Simplify right side
    5,984x = 16,877,587.20
  5. Step 5: Solve for x
    x = 16,877,587.20/5,984
  6. Step 6: Final answer
    x = 2,820.45

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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.