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Finding the Fourth Proportional to 3,641.51, 5,465 and 2,408.48

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Solution

The fourth proportional to 3,641.51, 5,465 and 2,408.48 is: 3,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.51 : 5,465 = 2,408.48 : x
  2. Step 2: Convert to fraction form
    3,641.51/5,465 = 2,408.48/x
  3. Step 3: Cross multiply
    3,641.51x = 5,465 × 2,408.48
  4. Step 4: Simplify right side
    3,641.51x = 13,162,343.20
  5. Step 5: Solve for x
    x = 13,162,343.20/3,641.51
  6. Step 6: Final answer
    x = 3,614.53

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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.