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Finding the Fourth Proportional to 5,606.69, 7,737.08 and 3,217.07

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Solution

The fourth proportional to 5,606.69, 7,737.08 and 3,217.07 is: 4,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.69 : 7,737.08 = 3,217.07 : x
  2. Step 2: Convert to fraction form
    5,606.69/7,737.08 = 3,217.07/x
  3. Step 3: Cross multiply
    5,606.69x = 7,737.08 × 3,217.07
  4. Step 4: Simplify right side
    5,606.69x = 24,890,673.18
  5. Step 5: Solve for x
    x = 24,890,673.18/5,606.69
  6. Step 6: Final answer
    x = 4,439.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.