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Finding the Fourth Proportional to 3,849.60, 5,314.20 and 2,256.03

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Solution

The fourth proportional to 3,849.60, 5,314.20 and 2,256.03 is: 3,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.60 : 5,314.20 = 2,256.03 : x
  2. Step 2: Convert to fraction form
    3,849.60/5,314.20 = 2,256.03/x
  3. Step 3: Cross multiply
    3,849.60x = 5,314.20 × 2,256.03
  4. Step 4: Simplify right side
    3,849.60x = 11,988,994.63
  5. Step 5: Solve for x
    x = 11,988,994.63/3,849.60
  6. Step 6: Final answer
    x = 3,114.35

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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.