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Finding the Fourth Proportional to 3,609.92, 4,973.76 and 2,428.94

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Solution

The fourth proportional to 3,609.92, 4,973.76 and 2,428.94 is: 3,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.92 : 4,973.76 = 2,428.94 : x
  2. Step 2: Convert to fraction form
    3,609.92/4,973.76 = 2,428.94/x
  3. Step 3: Cross multiply
    3,609.92x = 4,973.76 × 2,428.94
  4. Step 4: Simplify right side
    3,609.92x = 12,080,939.75
  5. Step 5: Solve for x
    x = 12,080,939.75/3,609.92
  6. Step 6: Final answer
    x = 3,346.60

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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.