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Finding the Fourth Proportional to 3,837.04, 5,756.10 and 1,646.80

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Solution

The fourth proportional to 3,837.04, 5,756.10 and 1,646.80 is: 2,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.04 : 5,756.10 = 1,646.80 : x
  2. Step 2: Convert to fraction form
    3,837.04/5,756.10 = 1,646.80/x
  3. Step 3: Cross multiply
    3,837.04x = 5,756.10 × 1,646.80
  4. Step 4: Simplify right side
    3,837.04x = 9,479,145.48
  5. Step 5: Solve for x
    x = 9,479,145.48/3,837.04
  6. Step 6: Final answer
    x = 2,470.43

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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.