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Finding the Fourth Proportional to 5,614.82, 8,417.12 and 3,528.50

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Solution

The fourth proportional to 5,614.82, 8,417.12 and 3,528.50 is: 5,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.82 : 8,417.12 = 3,528.50 : x
  2. Step 2: Convert to fraction form
    5,614.82/8,417.12 = 3,528.50/x
  3. Step 3: Cross multiply
    5,614.82x = 8,417.12 × 3,528.50
  4. Step 4: Simplify right side
    5,614.82x = 29,699,807.92
  5. Step 5: Solve for x
    x = 29,699,807.92/5,614.82
  6. Step 6: Final answer
    x = 5,289.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.