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Finding the Fourth Proportional to 5,482.98, 8,225.16 and 1,784.22

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Solution

The fourth proportional to 5,482.98, 8,225.16 and 1,784.22 is: 2,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.98 : 8,225.16 = 1,784.22 : x
  2. Step 2: Convert to fraction form
    5,482.98/8,225.16 = 1,784.22/x
  3. Step 3: Cross multiply
    5,482.98x = 8,225.16 × 1,784.22
  4. Step 4: Simplify right side
    5,482.98x = 14,675,494.98
  5. Step 5: Solve for x
    x = 14,675,494.98/5,482.98
  6. Step 6: Final answer
    x = 2,676.55

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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.