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Finding the Fourth Proportional to 3,709.05, 5,563.22 and 973.05

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Solution

The fourth proportional to 3,709.05, 5,563.22 and 973.05 is: 1,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.05 : 5,563.22 = 973.05 : x
  2. Step 2: Convert to fraction form
    3,709.05/5,563.22 = 973.05/x
  3. Step 3: Cross multiply
    3,709.05x = 5,563.22 × 973.05
  4. Step 4: Simplify right side
    3,709.05x = 5,413,286.36
  5. Step 5: Solve for x
    x = 5,413,286.36/3,709.05
  6. Step 6: Final answer
    x = 1,459.48

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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.