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Finding the Fourth Proportional to 4,089.60, 5,646.72 and 2,849.28

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Solution

The fourth proportional to 4,089.60, 5,646.72 and 2,849.28 is: 3,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.60 : 5,646.72 = 2,849.28 : x
  2. Step 2: Convert to fraction form
    4,089.60/5,646.72 = 2,849.28/x
  3. Step 3: Cross multiply
    4,089.60x = 5,646.72 × 2,849.28
  4. Step 4: Simplify right side
    4,089.60x = 16,089,086.36
  5. Step 5: Solve for x
    x = 16,089,086.36/4,089.60
  6. Step 6: Final answer
    x = 3,934.15

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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.