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Finding the Fourth Proportional to 3,543.34, 5,314.57 and 946.48

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Solution

The fourth proportional to 3,543.34, 5,314.57 and 946.48 is: 1,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.34 : 5,314.57 = 946.48 : x
  2. Step 2: Convert to fraction form
    3,543.34/5,314.57 = 946.48/x
  3. Step 3: Cross multiply
    3,543.34x = 5,314.57 × 946.48
  4. Step 4: Simplify right side
    3,543.34x = 5,030,134.21
  5. Step 5: Solve for x
    x = 5,030,134.21/3,543.34
  6. Step 6: Final answer
    x = 1,419.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.