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Finding the Fourth Proportional to 5,852.88, 8,780.17 and 1,692.93

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Solution

The fourth proportional to 5,852.88, 8,780.17 and 1,692.93 is: 2,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.88 : 8,780.17 = 1,692.93 : x
  2. Step 2: Convert to fraction form
    5,852.88/8,780.17 = 1,692.93/x
  3. Step 3: Cross multiply
    5,852.88x = 8,780.17 × 1,692.93
  4. Step 4: Simplify right side
    5,852.88x = 14,864,175.74
  5. Step 5: Solve for x
    x = 14,864,175.74/5,852.88
  6. Step 6: Final answer
    x = 2,539.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.