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Finding the Fourth Proportional to 3,776.94, 5,660.87 and 2,849.40

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Solution

The fourth proportional to 3,776.94, 5,660.87 and 2,849.40 is: 4,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.94 : 5,660.87 = 2,849.40 : x
  2. Step 2: Convert to fraction form
    3,776.94/5,660.87 = 2,849.40/x
  3. Step 3: Cross multiply
    3,776.94x = 5,660.87 × 2,849.40
  4. Step 4: Simplify right side
    3,776.94x = 16,130,068.73
  5. Step 5: Solve for x
    x = 16,130,068.73/3,776.94
  6. Step 6: Final answer
    x = 4,270.67

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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.