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Finding the Fourth Proportional to 5,805.04, 8,706.72 and 1,856.74

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Solution

The fourth proportional to 5,805.04, 8,706.72 and 1,856.74 is: 2,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.04 : 8,706.72 = 1,856.74 : x
  2. Step 2: Convert to fraction form
    5,805.04/8,706.72 = 1,856.74/x
  3. Step 3: Cross multiply
    5,805.04x = 8,706.72 × 1,856.74
  4. Step 4: Simplify right side
    5,805.04x = 16,166,115.29
  5. Step 5: Solve for x
    x = 16,166,115.29/5,805.04
  6. Step 6: Final answer
    x = 2,784.84

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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.