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Finding the Fourth Proportional to 5,671.81, 7,824.22 and 3,683.47

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Solution

The fourth proportional to 5,671.81, 7,824.22 and 3,683.47 is: 5,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.81 : 7,824.22 = 3,683.47 : x
  2. Step 2: Convert to fraction form
    5,671.81/7,824.22 = 3,683.47/x
  3. Step 3: Cross multiply
    5,671.81x = 7,824.22 × 3,683.47
  4. Step 4: Simplify right side
    5,671.81x = 28,820,279.64
  5. Step 5: Solve for x
    x = 28,820,279.64/5,671.81
  6. Step 6: Final answer
    x = 5,081.32

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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.