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Finding the Fourth Proportional to 4,089.63, 5,644.29 and 2,410.50

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Solution

The fourth proportional to 4,089.63, 5,644.29 and 2,410.50 is: 3,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.63 : 5,644.29 = 2,410.50 : x
  2. Step 2: Convert to fraction form
    4,089.63/5,644.29 = 2,410.50/x
  3. Step 3: Cross multiply
    4,089.63x = 5,644.29 × 2,410.50
  4. Step 4: Simplify right side
    4,089.63x = 13,605,561.05
  5. Step 5: Solve for x
    x = 13,605,561.05/4,089.63
  6. Step 6: Final answer
    x = 3,326.84

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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.