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Finding the Fourth Proportional to 3,652.64, 5,035.62 and 2,755.98

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Solution

The fourth proportional to 3,652.64, 5,035.62 and 2,755.98 is: 3,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.64 : 5,035.62 = 2,755.98 : x
  2. Step 2: Convert to fraction form
    3,652.64/5,035.62 = 2,755.98/x
  3. Step 3: Cross multiply
    3,652.64x = 5,035.62 × 2,755.98
  4. Step 4: Simplify right side
    3,652.64x = 13,878,068.01
  5. Step 5: Solve for x
    x = 13,878,068.01/3,652.64
  6. Step 6: Final answer
    x = 3,799.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.