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Finding the Fourth Proportional to 5,700,887.46, 7,867,212.66 and 3,087,383.22

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Solution

The fourth proportional to 5,700,887.46, 7,867,212.66 and 3,087,383.22 is: 4,260,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700,887.46 : 7,867,212.66 = 3,087,383.22 : x
  2. Step 2: Convert to fraction form
    5,700,887.46/7,867,212.66 = 3,087,383.22/x
  3. Step 3: Cross multiply
    5,700,887.46x = 7,867,212.66 × 3,087,383.22
  4. Step 4: Simplify right side
    5,700,887.46x = 24,289,100,354,655.57
  5. Step 5: Solve for x
    x = 24,289,100,354,655.57/5,700,887.46
  6. Step 6: Final answer
    x = 4,260,582.33

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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.