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Finding the Fourth Proportional to 5,798.98, 8,734.93 and 5,722.44

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Solution

The fourth proportional to 5,798.98, 8,734.93 and 5,722.44 is: 8,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.98 : 8,734.93 = 5,722.44 : x
  2. Step 2: Convert to fraction form
    5,798.98/8,734.93 = 5,722.44/x
  3. Step 3: Cross multiply
    5,798.98x = 8,734.93 × 5,722.44
  4. Step 4: Simplify right side
    5,798.98x = 49,985,112.83
  5. Step 5: Solve for x
    x = 49,985,112.83/5,798.98
  6. Step 6: Final answer
    x = 8,619.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.