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Finding the Fourth Proportional to 5,804.12, 8,009.98 and 3,414.80

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Solution

The fourth proportional to 5,804.12, 8,009.98 and 3,414.80 is: 4,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.12 : 8,009.98 = 3,414.80 : x
  2. Step 2: Convert to fraction form
    5,804.12/8,009.98 = 3,414.80/x
  3. Step 3: Cross multiply
    5,804.12x = 8,009.98 × 3,414.80
  4. Step 4: Simplify right side
    5,804.12x = 27,352,479.70
  5. Step 5: Solve for x
    x = 27,352,479.70/5,804.12
  6. Step 6: Final answer
    x = 4,712.60

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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.