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Finding the Fourth Proportional to 5,228.68, 7,842.43 and 1,530.94

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Solution

The fourth proportional to 5,228.68, 7,842.43 and 1,530.94 is: 2,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.68 : 7,842.43 = 1,530.94 : x
  2. Step 2: Convert to fraction form
    5,228.68/7,842.43 = 1,530.94/x
  3. Step 3: Cross multiply
    5,228.68x = 7,842.43 × 1,530.94
  4. Step 4: Simplify right side
    5,228.68x = 12,006,289.78
  5. Step 5: Solve for x
    x = 12,006,289.78/5,228.68
  6. Step 6: Final answer
    x = 2,296.24

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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.