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Finding the Fourth Proportional to 6,041.60, 9,065.10 and 2,148.80

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Solution

The fourth proportional to 6,041.60, 9,065.10 and 2,148.80 is: 3,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.60 : 9,065.10 = 2,148.80 : x
  2. Step 2: Convert to fraction form
    6,041.60/9,065.10 = 2,148.80/x
  3. Step 3: Cross multiply
    6,041.60x = 9,065.10 × 2,148.80
  4. Step 4: Simplify right side
    6,041.60x = 19,479,086.88
  5. Step 5: Solve for x
    x = 19,479,086.88/6,041.60
  6. Step 6: Final answer
    x = 3,224.16

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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.