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Finding the Fourth Proportional to 3,544.63, 5,316.10 and 1,462.57

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Solution

The fourth proportional to 3,544.63, 5,316.10 and 1,462.57 is: 2,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.63 : 5,316.10 = 1,462.57 : x
  2. Step 2: Convert to fraction form
    3,544.63/5,316.10 = 1,462.57/x
  3. Step 3: Cross multiply
    3,544.63x = 5,316.10 × 1,462.57
  4. Step 4: Simplify right side
    3,544.63x = 7,775,168.38
  5. Step 5: Solve for x
    x = 7,775,168.38/3,544.63
  6. Step 6: Final answer
    x = 2,193.51

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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.