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Finding the Fourth Proportional to 6,046.40, 9,062.40 and 2,536.40

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Solution

The fourth proportional to 6,046.40, 9,062.40 and 2,536.40 is: 3,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.40 : 9,062.40 = 2,536.40 : x
  2. Step 2: Convert to fraction form
    6,046.40/9,062.40 = 2,536.40/x
  3. Step 3: Cross multiply
    6,046.40x = 9,062.40 × 2,536.40
  4. Step 4: Simplify right side
    6,046.40x = 22,985,871.36
  5. Step 5: Solve for x
    x = 22,985,871.36/6,046.40
  6. Step 6: Final answer
    x = 3,801.58

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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.