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Finding the Fourth Proportional to 3,729.40, 5,594.10 and 3,000.40

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Solution

The fourth proportional to 3,729.40, 5,594.10 and 3,000.40 is: 4,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.40 : 5,594.10 = 3,000.40 : x
  2. Step 2: Convert to fraction form
    3,729.40/5,594.10 = 3,000.40/x
  3. Step 3: Cross multiply
    3,729.40x = 5,594.10 × 3,000.40
  4. Step 4: Simplify right side
    3,729.40x = 16,784,537.64
  5. Step 5: Solve for x
    x = 16,784,537.64/3,729.40
  6. Step 6: Final answer
    x = 4,500.60

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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.