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Finding the Fourth Proportional to 5,673.66, 7,823.34 and 3,681.60

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Solution

The fourth proportional to 5,673.66, 7,823.34 and 3,681.60 is: 5,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.66 : 7,823.34 = 3,681.60 : x
  2. Step 2: Convert to fraction form
    5,673.66/7,823.34 = 3,681.60/x
  3. Step 3: Cross multiply
    5,673.66x = 7,823.34 × 3,681.60
  4. Step 4: Simplify right side
    5,673.66x = 28,802,408.54
  5. Step 5: Solve for x
    x = 28,802,408.54/5,673.66
  6. Step 6: Final answer
    x = 5,076.51

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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.