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Finding the Fourth Proportional to 3,709.52, 5,564.26 and 973.52

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Solution

The fourth proportional to 3,709.52, 5,564.26 and 973.52 is: 1,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.52 : 5,564.26 = 973.52 : x
  2. Step 2: Convert to fraction form
    3,709.52/5,564.26 = 973.52/x
  3. Step 3: Cross multiply
    3,709.52x = 5,564.26 × 973.52
  4. Step 4: Simplify right side
    3,709.52x = 5,416,918.40
  5. Step 5: Solve for x
    x = 5,416,918.40/3,709.52
  6. Step 6: Final answer
    x = 1,460.27

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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.