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Finding the Fourth Proportional to 5,823.78, 8,693.38 and 5,390.12

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Solution

The fourth proportional to 5,823.78, 8,693.38 and 5,390.12 is: 8,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.78 : 8,693.38 = 5,390.12 : x
  2. Step 2: Convert to fraction form
    5,823.78/8,693.38 = 5,390.12/x
  3. Step 3: Cross multiply
    5,823.78x = 8,693.38 × 5,390.12
  4. Step 4: Simplify right side
    5,823.78x = 46,858,361.41
  5. Step 5: Solve for x
    x = 46,858,361.41/5,823.78
  6. Step 6: Final answer
    x = 8,046.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.