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Finding the Fourth Proportional to 5,856.09, 8,784.74 and 1,960.80

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Solution

The fourth proportional to 5,856.09, 8,784.74 and 1,960.80 is: 2,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.09 : 8,784.74 = 1,960.80 : x
  2. Step 2: Convert to fraction form
    5,856.09/8,784.74 = 1,960.80/x
  3. Step 3: Cross multiply
    5,856.09x = 8,784.74 × 1,960.80
  4. Step 4: Simplify right side
    5,856.09x = 17,225,118.19
  5. Step 5: Solve for x
    x = 17,225,118.19/5,856.09
  6. Step 6: Final answer
    x = 2,941.40

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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.