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Finding the Fourth Proportional to 4,705.44, 6,486.08 and 3,582.80

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Solution

The fourth proportional to 4,705.44, 6,486.08 and 3,582.80 is: 4,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.44 : 6,486.08 = 3,582.80 : x
  2. Step 2: Convert to fraction form
    4,705.44/6,486.08 = 3,582.80/x
  3. Step 3: Cross multiply
    4,705.44x = 6,486.08 × 3,582.80
  4. Step 4: Simplify right side
    4,705.44x = 23,238,327.42
  5. Step 5: Solve for x
    x = 23,238,327.42/4,705.44
  6. Step 6: Final answer
    x = 4,938.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.