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Finding the Fourth Proportional to 3,764.18, 5,646.31 and 990.86

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Solution

The fourth proportional to 3,764.18, 5,646.31 and 990.86 is: 1,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.18 : 5,646.31 = 990.86 : x
  2. Step 2: Convert to fraction form
    3,764.18/5,646.31 = 990.86/x
  3. Step 3: Cross multiply
    3,764.18x = 5,646.31 × 990.86
  4. Step 4: Simplify right side
    3,764.18x = 5,594,672.02
  5. Step 5: Solve for x
    x = 5,594,672.02/3,764.18
  6. Step 6: Final answer
    x = 1,486.29

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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.