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Finding the Fourth Proportional to 3,543.57, 5,315.21 and 946.51

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Solution

The fourth proportional to 3,543.57, 5,315.21 and 946.51 is: 1,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.57 : 5,315.21 = 946.51 : x
  2. Step 2: Convert to fraction form
    3,543.57/5,315.21 = 946.51/x
  3. Step 3: Cross multiply
    3,543.57x = 5,315.21 × 946.51
  4. Step 4: Simplify right side
    3,543.57x = 5,030,899.42
  5. Step 5: Solve for x
    x = 5,030,899.42/3,543.57
  6. Step 6: Final answer
    x = 1,419.73

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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.