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Finding the Fourth Proportional to 3,614.40, 5,429.70 and 3,476.70

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Solution

The fourth proportional to 3,614.40, 5,429.70 and 3,476.70 is: 5,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.40 : 5,429.70 = 3,476.70 : x
  2. Step 2: Convert to fraction form
    3,614.40/5,429.70 = 3,476.70/x
  3. Step 3: Cross multiply
    3,614.40x = 5,429.70 × 3,476.70
  4. Step 4: Simplify right side
    3,614.40x = 18,877,437.99
  5. Step 5: Solve for x
    x = 18,877,437.99/3,614.40
  6. Step 6: Final answer
    x = 5,222.84

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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.