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Finding the Fourth Proportional to 5,336.34, 8,004.93 and 1,826.20

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Solution

The fourth proportional to 5,336.34, 8,004.93 and 1,826.20 is: 2,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.34 : 8,004.93 = 1,826.20 : x
  2. Step 2: Convert to fraction form
    5,336.34/8,004.93 = 1,826.20/x
  3. Step 3: Cross multiply
    5,336.34x = 8,004.93 × 1,826.20
  4. Step 4: Simplify right side
    5,336.34x = 14,618,603.17
  5. Step 5: Solve for x
    x = 14,618,603.17/5,336.34
  6. Step 6: Final answer
    x = 2,739.44

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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.