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Finding the Fourth Proportional to 4,005.74, 5,527.74 and 2,237

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Solution

The fourth proportional to 4,005.74, 5,527.74 and 2,237 is: 3,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.74 : 5,527.74 = 2,237 : x
  2. Step 2: Convert to fraction form
    4,005.74/5,527.74 = 2,237/x
  3. Step 3: Cross multiply
    4,005.74x = 5,527.74 × 2,237
  4. Step 4: Simplify right side
    4,005.74x = 12,365,554.38
  5. Step 5: Solve for x
    x = 12,365,554.38/4,005.74
  6. Step 6: Final answer
    x = 3,086.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.