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Finding the Fourth Proportional to 5,856.59, 8,784.86 and 2,348.16

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Solution

The fourth proportional to 5,856.59, 8,784.86 and 2,348.16 is: 3,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.59 : 8,784.86 = 2,348.16 : x
  2. Step 2: Convert to fraction form
    5,856.59/8,784.86 = 2,348.16/x
  3. Step 3: Cross multiply
    5,856.59x = 8,784.86 × 2,348.16
  4. Step 4: Simplify right side
    5,856.59x = 20,628,245.12
  5. Step 5: Solve for x
    x = 20,628,245.12/5,856.59
  6. Step 6: Final answer
    x = 3,522.23

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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.