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Finding the Fourth Proportional to 3,696.60, 5,535.79 and 2,457.30

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Solution

The fourth proportional to 3,696.60, 5,535.79 and 2,457.30 is: 3,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.60 : 5,535.79 = 2,457.30 : x
  2. Step 2: Convert to fraction form
    3,696.60/5,535.79 = 2,457.30/x
  3. Step 3: Cross multiply
    3,696.60x = 5,535.79 × 2,457.30
  4. Step 4: Simplify right side
    3,696.60x = 13,603,090.62
  5. Step 5: Solve for x
    x = 13,603,090.62/3,696.60
  6. Step 6: Final answer
    x = 3,679.89

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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.