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Finding the Fourth Proportional to 5,583.09, 8,374.70 and 1,423.09

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Solution

The fourth proportional to 5,583.09, 8,374.70 and 1,423.09 is: 2,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.09 : 8,374.70 = 1,423.09 : x
  2. Step 2: Convert to fraction form
    5,583.09/8,374.70 = 1,423.09/x
  3. Step 3: Cross multiply
    5,583.09x = 8,374.70 × 1,423.09
  4. Step 4: Simplify right side
    5,583.09x = 11,917,951.82
  5. Step 5: Solve for x
    x = 11,917,951.82/5,583.09
  6. Step 6: Final answer
    x = 2,134.65

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Similar ratio
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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.