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Finding the Fourth Proportional to 3,646.64, 5,034.75 and 2,805.80

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Solution

The fourth proportional to 3,646.64, 5,034.75 and 2,805.80 is: 3,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.64 : 5,034.75 = 2,805.80 : x
  2. Step 2: Convert to fraction form
    3,646.64/5,034.75 = 2,805.80/x
  3. Step 3: Cross multiply
    3,646.64x = 5,034.75 × 2,805.80
  4. Step 4: Simplify right side
    3,646.64x = 14,126,501.55
  5. Step 5: Solve for x
    x = 14,126,501.55/3,646.64
  6. Step 6: Final answer
    x = 3,873.84

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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.