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Finding the Fourth Proportional to 5,684.12, 8,523.06 and 1,985.36

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Solution

The fourth proportional to 5,684.12, 8,523.06 and 1,985.36 is: 2,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.12 : 8,523.06 = 1,985.36 : x
  2. Step 2: Convert to fraction form
    5,684.12/8,523.06 = 1,985.36/x
  3. Step 3: Cross multiply
    5,684.12x = 8,523.06 × 1,985.36
  4. Step 4: Simplify right side
    5,684.12x = 16,921,342.40
  5. Step 5: Solve for x
    x = 16,921,342.40/5,684.12
  6. Step 6: Final answer
    x = 2,976.95

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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.