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Finding the Fourth Proportional to 5,123.68, 7,678.84 and 2,158.72

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Solution

The fourth proportional to 5,123.68, 7,678.84 and 2,158.72 is: 3,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.68 : 7,678.84 = 2,158.72 : x
  2. Step 2: Convert to fraction form
    5,123.68/7,678.84 = 2,158.72/x
  3. Step 3: Cross multiply
    5,123.68x = 7,678.84 × 2,158.72
  4. Step 4: Simplify right side
    5,123.68x = 16,576,465.48
  5. Step 5: Solve for x
    x = 16,576,465.48/5,123.68
  6. Step 6: Final answer
    x = 3,235.27

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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.