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Finding the Fourth Proportional to 3,897,412.74, 5,844,413.25 and 2,075,393.88

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Solution

The fourth proportional to 3,897,412.74, 5,844,413.25 and 2,075,393.88 is: 3,112,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,412.74 : 5,844,413.25 = 2,075,393.88 : x
  2. Step 2: Convert to fraction form
    3,897,412.74/5,844,413.25 = 2,075,393.88/x
  3. Step 3: Cross multiply
    3,897,412.74x = 5,844,413.25 × 2,075,393.88
  4. Step 4: Simplify right side
    3,897,412.74x = 12,129,459,491,240.91
  5. Step 5: Solve for x
    x = 12,129,459,491,240.91/3,897,412.74
  6. Step 6: Final answer
    x = 3,112,182.44

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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.