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Finding the Fourth Proportional to 3,543.96, 5,316.24 and 946.92

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Solution

The fourth proportional to 3,543.96, 5,316.24 and 946.92 is: 1,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.96 : 5,316.24 = 946.92 : x
  2. Step 2: Convert to fraction form
    3,543.96/5,316.24 = 946.92/x
  3. Step 3: Cross multiply
    3,543.96x = 5,316.24 × 946.92
  4. Step 4: Simplify right side
    3,543.96x = 5,034,053.98
  5. Step 5: Solve for x
    x = 5,034,053.98/3,543.96
  6. Step 6: Final answer
    x = 1,420.46

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1.5x scale

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.