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Finding the Fourth Proportional to 3,543.63, 5,314.60 and 1,461.57

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Solution

The fourth proportional to 3,543.63, 5,314.60 and 1,461.57 is: 2,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.63 : 5,314.60 = 1,461.57 : x
  2. Step 2: Convert to fraction form
    3,543.63/5,314.60 = 1,461.57/x
  3. Step 3: Cross multiply
    3,543.63x = 5,314.60 × 1,461.57
  4. Step 4: Simplify right side
    3,543.63x = 7,767,659.92
  5. Step 5: Solve for x
    x = 7,767,659.92/3,543.63
  6. Step 6: Final answer
    x = 2,192.01

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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.