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Finding the Fourth Proportional to 5,123.94, 7,685.64 and 2,526

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Solution

The fourth proportional to 5,123.94, 7,685.64 and 2,526 is: 3,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.94 : 7,685.64 = 2,526 : x
  2. Step 2: Convert to fraction form
    5,123.94/7,685.64 = 2,526/x
  3. Step 3: Cross multiply
    5,123.94x = 7,685.64 × 2,526
  4. Step 4: Simplify right side
    5,123.94x = 19,413,926.64
  5. Step 5: Solve for x
    x = 19,413,926.64/5,123.94
  6. Step 6: Final answer
    x = 3,788.87

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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.