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Finding the Fourth Proportional to 5,206.05, 7,810.11 and 1,919.16

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Solution

The fourth proportional to 5,206.05, 7,810.11 and 1,919.16 is: 2,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.05 : 7,810.11 = 1,919.16 : x
  2. Step 2: Convert to fraction form
    5,206.05/7,810.11 = 1,919.16/x
  3. Step 3: Cross multiply
    5,206.05x = 7,810.11 × 1,919.16
  4. Step 4: Simplify right side
    5,206.05x = 14,988,850.71
  5. Step 5: Solve for x
    x = 14,988,850.71/5,206.05
  6. Step 6: Final answer
    x = 2,879.12

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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.