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Finding the Fourth Proportional to 3,709.55, 5,563.97 and 973.55

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Solution

The fourth proportional to 3,709.55, 5,563.97 and 973.55 is: 1,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.55 : 5,563.97 = 973.55 : x
  2. Step 2: Convert to fraction form
    3,709.55/5,563.97 = 973.55/x
  3. Step 3: Cross multiply
    3,709.55x = 5,563.97 × 973.55
  4. Step 4: Simplify right side
    3,709.55x = 5,416,798.13
  5. Step 5: Solve for x
    x = 5,416,798.13/3,709.55
  6. Step 6: Final answer
    x = 1,460.23

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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.