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Finding the Fourth Proportional to 5,840.40, 8,741.40 and 4,112.40

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Solution

The fourth proportional to 5,840.40, 8,741.40 and 4,112.40 is: 6,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.40 : 8,741.40 = 4,112.40 : x
  2. Step 2: Convert to fraction form
    5,840.40/8,741.40 = 4,112.40/x
  3. Step 3: Cross multiply
    5,840.40x = 8,741.40 × 4,112.40
  4. Step 4: Simplify right side
    5,840.40x = 35,948,133.36
  5. Step 5: Solve for x
    x = 35,948,133.36/5,840.40
  6. Step 6: Final answer
    x = 6,155.08

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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.