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Finding the Fourth Proportional to 3,478.60, 4,704.75 and 3,478.60

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Solution

The fourth proportional to 3,478.60, 4,704.75 and 3,478.60 is: 4,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.60 : 4,704.75 = 3,478.60 : x
  2. Step 2: Convert to fraction form
    3,478.60/4,704.75 = 3,478.60/x
  3. Step 3: Cross multiply
    3,478.60x = 4,704.75 × 3,478.60
  4. Step 4: Simplify right side
    3,478.60x = 16,365,943.35
  5. Step 5: Solve for x
    x = 16,365,943.35/3,478.60
  6. Step 6: Final answer
    x = 4,704.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.