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Finding the Fourth Proportional to 3,123.95, 4,686.20 and 1,275.20

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Solution

The fourth proportional to 3,123.95, 4,686.20 and 1,275.20 is: 1,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.95 : 4,686.20 = 1,275.20 : x
  2. Step 2: Convert to fraction form
    3,123.95/4,686.20 = 1,275.20/x
  3. Step 3: Cross multiply
    3,123.95x = 4,686.20 × 1,275.20
  4. Step 4: Simplify right side
    3,123.95x = 5,975,822.00
  5. Step 5: Solve for x
    x = 5,975,822.00/3,123.95
  6. Step 6: Final answer
    x = 1,912.90

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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.