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Finding the Fourth Proportional to 3,406.52, 4,697.52 and 3,208.08

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Solution

The fourth proportional to 3,406.52, 4,697.52 and 3,208.08 is: 4,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.52 : 4,697.52 = 3,208.08 : x
  2. Step 2: Convert to fraction form
    3,406.52/4,697.52 = 3,208.08/x
  3. Step 3: Cross multiply
    3,406.52x = 4,697.52 × 3,208.08
  4. Step 4: Simplify right side
    3,406.52x = 15,070,019.96
  5. Step 5: Solve for x
    x = 15,070,019.96/3,406.52
  6. Step 6: Final answer
    x = 4,423.88

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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.