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Finding the Fourth Proportional to 3,735.51, 5,597.18 and 2,416.02

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Solution

The fourth proportional to 3,735.51, 5,597.18 and 2,416.02 is: 3,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.51 : 5,597.18 = 2,416.02 : x
  2. Step 2: Convert to fraction form
    3,735.51/5,597.18 = 2,416.02/x
  3. Step 3: Cross multiply
    3,735.51x = 5,597.18 × 2,416.02
  4. Step 4: Simplify right side
    3,735.51x = 13,522,898.82
  5. Step 5: Solve for x
    x = 13,522,898.82/3,735.51
  6. Step 6: Final answer
    x = 3,620.09

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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.