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Finding the Fourth Proportional to 6,092.40, 8,407.58 and 3,576

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Solution

The fourth proportional to 6,092.40, 8,407.58 and 3,576 is: 4,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.40 : 8,407.58 = 3,576 : x
  2. Step 2: Convert to fraction form
    6,092.40/8,407.58 = 3,576/x
  3. Step 3: Cross multiply
    6,092.40x = 8,407.58 × 3,576
  4. Step 4: Simplify right side
    6,092.40x = 30,065,506.08
  5. Step 5: Solve for x
    x = 30,065,506.08/6,092.40
  6. Step 6: Final answer
    x = 4,934.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.