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Finding the Fourth Proportional to 3,609.54, 4,973.24 and 2,428.56

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Solution

The fourth proportional to 3,609.54, 4,973.24 and 2,428.56 is: 3,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.54 : 4,973.24 = 2,428.56 : x
  2. Step 2: Convert to fraction form
    3,609.54/4,973.24 = 2,428.56/x
  3. Step 3: Cross multiply
    3,609.54x = 4,973.24 × 2,428.56
  4. Step 4: Simplify right side
    3,609.54x = 12,077,817.81
  5. Step 5: Solve for x
    x = 12,077,817.81/3,609.54
  6. Step 6: Final answer
    x = 3,346.08

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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.