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Finding the Fourth Proportional to 5,123.98, 7,685.88 and 1,426.42

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Solution

The fourth proportional to 5,123.98, 7,685.88 and 1,426.42 is: 2,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.98 : 7,685.88 = 1,426.42 : x
  2. Step 2: Convert to fraction form
    5,123.98/7,685.88 = 1,426.42/x
  3. Step 3: Cross multiply
    5,123.98x = 7,685.88 × 1,426.42
  4. Step 4: Simplify right side
    5,123.98x = 10,963,292.95
  5. Step 5: Solve for x
    x = 10,963,292.95/5,123.98
  6. Step 6: Final answer
    x = 2,139.60

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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.