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Finding the Fourth Proportional to 3,473.94, 5,210.91 and 1,423.38

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Solution

The fourth proportional to 3,473.94, 5,210.91 and 1,423.38 is: 2,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.94 : 5,210.91 = 1,423.38 : x
  2. Step 2: Convert to fraction form
    3,473.94/5,210.91 = 1,423.38/x
  3. Step 3: Cross multiply
    3,473.94x = 5,210.91 × 1,423.38
  4. Step 4: Simplify right side
    3,473.94x = 7,417,105.08
  5. Step 5: Solve for x
    x = 7,417,105.08/3,473.94
  6. Step 6: Final answer
    x = 2,135.07

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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.