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Finding the Fourth Proportional to 3,770.01, 5,653.26 and 1,430.46

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Solution

The fourth proportional to 3,770.01, 5,653.26 and 1,430.46 is: 2,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.01 : 5,653.26 = 1,430.46 : x
  2. Step 2: Convert to fraction form
    3,770.01/5,653.26 = 1,430.46/x
  3. Step 3: Cross multiply
    3,770.01x = 5,653.26 × 1,430.46
  4. Step 4: Simplify right side
    3,770.01x = 8,086,762.30
  5. Step 5: Solve for x
    x = 8,086,762.30/3,770.01
  6. Step 6: Final answer
    x = 2,145.02

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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.