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Finding the Fourth Proportional to 5,683.44, 7,845.28 and 4,203.27

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Solution

The fourth proportional to 5,683.44, 7,845.28 and 4,203.27 is: 5,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.44 : 7,845.28 = 4,203.27 : x
  2. Step 2: Convert to fraction form
    5,683.44/7,845.28 = 4,203.27/x
  3. Step 3: Cross multiply
    5,683.44x = 7,845.28 × 4,203.27
  4. Step 4: Simplify right side
    5,683.44x = 32,975,830.07
  5. Step 5: Solve for x
    x = 32,975,830.07/5,683.44
  6. Step 6: Final answer
    x = 5,802.09

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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.