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Finding the Fourth Proportional to 4,770.23, 6,582.65 and 2,645.64

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Solution

The fourth proportional to 4,770.23, 6,582.65 and 2,645.64 is: 3,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.23 : 6,582.65 = 2,645.64 : x
  2. Step 2: Convert to fraction form
    4,770.23/6,582.65 = 2,645.64/x
  3. Step 3: Cross multiply
    4,770.23x = 6,582.65 × 2,645.64
  4. Step 4: Simplify right side
    4,770.23x = 17,415,308.92
  5. Step 5: Solve for x
    x = 17,415,308.92/4,770.23
  6. Step 6: Final answer
    x = 3,650.84

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