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Finding the Fourth Proportional to 3,984,798.50, 5,977,197.75 and 1,325,406.50

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Solution

The fourth proportional to 3,984,798.50, 5,977,197.75 and 1,325,406.50 is: 1,988,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984,798.50 : 5,977,197.75 = 1,325,406.50 : x
  2. Step 2: Convert to fraction form
    3,984,798.50/5,977,197.75 = 1,325,406.50/x
  3. Step 3: Cross multiply
    3,984,798.50x = 5,977,197.75 × 1,325,406.50
  4. Step 4: Simplify right side
    3,984,798.50x = 7,922,216,749,635.38
  5. Step 5: Solve for x
    x = 7,922,216,749,635.38/3,984,798.50
  6. Step 6: Final answer
    x = 1,988,109.75

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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.