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Finding the Fourth Proportional to 3,672.48, 5,507.16 and 2,283.76

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Solution

The fourth proportional to 3,672.48, 5,507.16 and 2,283.76 is: 3,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.48 : 5,507.16 = 2,283.76 : x
  2. Step 2: Convert to fraction form
    3,672.48/5,507.16 = 2,283.76/x
  3. Step 3: Cross multiply
    3,672.48x = 5,507.16 × 2,283.76
  4. Step 4: Simplify right side
    3,672.48x = 12,577,031.72
  5. Step 5: Solve for x
    x = 12,577,031.72/3,672.48
  6. Step 6: Final answer
    x = 3,424.67

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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.