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Finding the Fourth Proportional to 5,720.34, 7,904.34 and 4,464.60

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Solution

The fourth proportional to 5,720.34, 7,904.34 and 4,464.60 is: 6,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.34 : 7,904.34 = 4,464.60 : x
  2. Step 2: Convert to fraction form
    5,720.34/7,904.34 = 4,464.60/x
  3. Step 3: Cross multiply
    5,720.34x = 7,904.34 × 4,464.60
  4. Step 4: Simplify right side
    5,720.34x = 35,289,716.36
  5. Step 5: Solve for x
    x = 35,289,716.36/5,720.34
  6. Step 6: Final answer
    x = 6,169.16

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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.