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Finding the Fourth Proportional to 5,984.74, 8,977.11 and 4,956.58

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Solution

The fourth proportional to 5,984.74, 8,977.11 and 4,956.58 is: 7,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.74 : 8,977.11 = 4,956.58 : x
  2. Step 2: Convert to fraction form
    5,984.74/8,977.11 = 4,956.58/x
  3. Step 3: Cross multiply
    5,984.74x = 8,977.11 × 4,956.58
  4. Step 4: Simplify right side
    5,984.74x = 44,495,763.88
  5. Step 5: Solve for x
    x = 44,495,763.88/5,984.74
  6. Step 6: Final answer
    x = 7,434.87

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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.