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Finding the Fourth Proportional to 3,133, 4,305.90 and 3,045.52

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Solution

The fourth proportional to 3,133, 4,305.90 and 3,045.52 is: 4,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133 : 4,305.90 = 3,045.52 : x
  2. Step 2: Convert to fraction form
    3,133/4,305.90 = 3,045.52/x
  3. Step 3: Cross multiply
    3,133x = 4,305.90 × 3,045.52
  4. Step 4: Simplify right side
    3,133x = 13,113,704.57
  5. Step 5: Solve for x
    x = 13,113,704.57/3,133
  6. Step 6: Final answer
    x = 4,185.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.