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Finding the Fourth Proportional to 4,665.91, 6,984.39 and 3,488.98

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Solution

The fourth proportional to 4,665.91, 6,984.39 and 3,488.98 is: 5,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.91 : 6,984.39 = 3,488.98 : x
  2. Step 2: Convert to fraction form
    4,665.91/6,984.39 = 3,488.98/x
  3. Step 3: Cross multiply
    4,665.91x = 6,984.39 × 3,488.98
  4. Step 4: Simplify right side
    4,665.91x = 24,368,397.02
  5. Step 5: Solve for x
    x = 24,368,397.02/4,665.91
  6. Step 6: Final answer
    x = 5,222.65

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1.5x scale

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.