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Finding the Fourth Proportional to 3,923.83, 5,415.02 and 2,155.50

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Solution

The fourth proportional to 3,923.83, 5,415.02 and 2,155.50 is: 2,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.83 : 5,415.02 = 2,155.50 : x
  2. Step 2: Convert to fraction form
    3,923.83/5,415.02 = 2,155.50/x
  3. Step 3: Cross multiply
    3,923.83x = 5,415.02 × 2,155.50
  4. Step 4: Simplify right side
    3,923.83x = 11,672,075.61
  5. Step 5: Solve for x
    x = 11,672,075.61/3,923.83
  6. Step 6: Final answer
    x = 2,974.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.