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Finding the Fourth Proportional to 3,966.30, 5,459.67 and 3,966.30

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Solution

The fourth proportional to 3,966.30, 5,459.67 and 3,966.30 is: 5,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.30 : 5,459.67 = 3,966.30 : x
  2. Step 2: Convert to fraction form
    3,966.30/5,459.67 = 3,966.30/x
  3. Step 3: Cross multiply
    3,966.30x = 5,459.67 × 3,966.30
  4. Step 4: Simplify right side
    3,966.30x = 21,654,689.12
  5. Step 5: Solve for x
    x = 21,654,689.12/3,966.30
  6. Step 6: Final answer
    x = 5,459.67

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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.