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Finding the Fourth Proportional to 5,688.67, 8,528.91 and 3,835.21

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Solution

The fourth proportional to 5,688.67, 8,528.91 and 3,835.21 is: 5,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.67 : 8,528.91 = 3,835.21 : x
  2. Step 2: Convert to fraction form
    5,688.67/8,528.91 = 3,835.21/x
  3. Step 3: Cross multiply
    5,688.67x = 8,528.91 × 3,835.21
  4. Step 4: Simplify right side
    5,688.67x = 32,710,160.92
  5. Step 5: Solve for x
    x = 32,710,160.92/5,688.67
  6. Step 6: Final answer
    x = 5,750.05

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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.