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Finding the Fourth Proportional to 4,692.66, 7,038.78 and 1,918.41

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Solution

The fourth proportional to 4,692.66, 7,038.78 and 1,918.41 is: 2,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.66 : 7,038.78 = 1,918.41 : x
  2. Step 2: Convert to fraction form
    4,692.66/7,038.78 = 1,918.41/x
  3. Step 3: Cross multiply
    4,692.66x = 7,038.78 × 1,918.41
  4. Step 4: Simplify right side
    4,692.66x = 13,503,265.94
  5. Step 5: Solve for x
    x = 13,503,265.94/4,692.66
  6. Step 6: Final answer
    x = 2,877.53

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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.