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Finding the Fourth Proportional to 3,504.60, 5,256.70 and 1,313.14

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Solution

The fourth proportional to 3,504.60, 5,256.70 and 1,313.14 is: 1,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.60 : 5,256.70 = 1,313.14 : x
  2. Step 2: Convert to fraction form
    3,504.60/5,256.70 = 1,313.14/x
  3. Step 3: Cross multiply
    3,504.60x = 5,256.70 × 1,313.14
  4. Step 4: Simplify right side
    3,504.60x = 6,902,783.04
  5. Step 5: Solve for x
    x = 6,902,783.04/3,504.60
  6. Step 6: Final answer
    x = 1,969.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.