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Finding the Fourth Proportional to 5,657.69, 8,491.94 and 3,470.69

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Solution

The fourth proportional to 5,657.69, 8,491.94 and 3,470.69 is: 5,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.69 : 8,491.94 = 3,470.69 : x
  2. Step 2: Convert to fraction form
    5,657.69/8,491.94 = 3,470.69/x
  3. Step 3: Cross multiply
    5,657.69x = 8,491.94 × 3,470.69
  4. Step 4: Simplify right side
    5,657.69x = 29,472,908.13
  5. Step 5: Solve for x
    x = 29,472,908.13/5,657.69
  6. Step 6: Final answer
    x = 5,209.35

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1.5x scale

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.