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Finding the Fourth Proportional to 5,127.71, 7,692.17 and 1,840.52

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Solution

The fourth proportional to 5,127.71, 7,692.17 and 1,840.52 is: 2,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.71 : 7,692.17 = 1,840.52 : x
  2. Step 2: Convert to fraction form
    5,127.71/7,692.17 = 1,840.52/x
  3. Step 3: Cross multiply
    5,127.71x = 7,692.17 × 1,840.52
  4. Step 4: Simplify right side
    5,127.71x = 14,157,602.76
  5. Step 5: Solve for x
    x = 14,157,602.76/5,127.71
  6. Step 6: Final answer
    x = 2,761.00

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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.