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Finding the Fourth Proportional to 5,826.54, 8,023.14 and 5,219.68

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Solution

The fourth proportional to 5,826.54, 8,023.14 and 5,219.68 is: 7,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.54 : 8,023.14 = 5,219.68 : x
  2. Step 2: Convert to fraction form
    5,826.54/8,023.14 = 5,219.68/x
  3. Step 3: Cross multiply
    5,826.54x = 8,023.14 × 5,219.68
  4. Step 4: Simplify right side
    5,826.54x = 41,878,223.40
  5. Step 5: Solve for x
    x = 41,878,223.40/5,826.54
  6. Step 6: Final answer
    x = 7,187.49

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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.