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Finding the Fourth Proportional to 3,763.95, 5,646.54 and 2,123.70

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Solution

The fourth proportional to 3,763.95, 5,646.54 and 2,123.70 is: 3,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.95 : 5,646.54 = 2,123.70 : x
  2. Step 2: Convert to fraction form
    3,763.95/5,646.54 = 2,123.70/x
  3. Step 3: Cross multiply
    3,763.95x = 5,646.54 × 2,123.70
  4. Step 4: Simplify right side
    3,763.95x = 11,991,557.00
  5. Step 5: Solve for x
    x = 11,991,557.00/3,763.95
  6. Step 6: Final answer
    x = 3,185.90

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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.