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Finding the Fourth Proportional to 3,505.48, 5,258.22 and 3,291.64

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Solution

The fourth proportional to 3,505.48, 5,258.22 and 3,291.64 is: 4,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.48 : 5,258.22 = 3,291.64 : x
  2. Step 2: Convert to fraction form
    3,505.48/5,258.22 = 3,291.64/x
  3. Step 3: Cross multiply
    3,505.48x = 5,258.22 × 3,291.64
  4. Step 4: Simplify right side
    3,505.48x = 17,308,167.28
  5. Step 5: Solve for x
    x = 17,308,167.28/3,505.48
  6. Step 6: Final answer
    x = 4,937.46

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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.