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Finding the Fourth Proportional to 3,127.95, 4,692.53 and 936.63

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Solution

The fourth proportional to 3,127.95, 4,692.53 and 936.63 is: 1,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.95 : 4,692.53 = 936.63 : x
  2. Step 2: Convert to fraction form
    3,127.95/4,692.53 = 936.63/x
  3. Step 3: Cross multiply
    3,127.95x = 4,692.53 × 936.63
  4. Step 4: Simplify right side
    3,127.95x = 4,395,166.72
  5. Step 5: Solve for x
    x = 4,395,166.72/3,127.95
  6. Step 6: Final answer
    x = 1,405.13

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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.