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Finding the Fourth Proportional to 5,784.75, 8,677.13 and 1,680.75

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Solution

The fourth proportional to 5,784.75, 8,677.13 and 1,680.75 is: 2,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.75 : 8,677.13 = 1,680.75 : x
  2. Step 2: Convert to fraction form
    5,784.75/8,677.13 = 1,680.75/x
  3. Step 3: Cross multiply
    5,784.75x = 8,677.13 × 1,680.75
  4. Step 4: Simplify right side
    5,784.75x = 14,584,077.84
  5. Step 5: Solve for x
    x = 14,584,077.84/5,784.75
  6. Step 6: Final answer
    x = 2,521.13

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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.