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Finding the Fourth Proportional to 3,654.36, 5,041.74 and 2,535

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Solution

The fourth proportional to 3,654.36, 5,041.74 and 2,535 is: 3,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.36 : 5,041.74 = 2,535 : x
  2. Step 2: Convert to fraction form
    3,654.36/5,041.74 = 2,535/x
  3. Step 3: Cross multiply
    3,654.36x = 5,041.74 × 2,535
  4. Step 4: Simplify right side
    3,654.36x = 12,780,810.90
  5. Step 5: Solve for x
    x = 12,780,810.90/3,654.36
  6. Step 6: Final answer
    x = 3,497.41

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