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Finding the Fourth Proportional to 3,599.16, 5,395.86 and 1,652.64

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Solution

The fourth proportional to 3,599.16, 5,395.86 and 1,652.64 is: 2,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.16 : 5,395.86 = 1,652.64 : x
  2. Step 2: Convert to fraction form
    3,599.16/5,395.86 = 1,652.64/x
  3. Step 3: Cross multiply
    3,599.16x = 5,395.86 × 1,652.64
  4. Step 4: Simplify right side
    3,599.16x = 8,917,414.07
  5. Step 5: Solve for x
    x = 8,917,414.07/3,599.16
  6. Step 6: Final answer
    x = 2,477.64

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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.