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Finding the Fourth Proportional to 6,306.66, 8,703.19 and 3,655.60

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Solution

The fourth proportional to 6,306.66, 8,703.19 and 3,655.60 is: 5,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.66 : 8,703.19 = 3,655.60 : x
  2. Step 2: Convert to fraction form
    6,306.66/8,703.19 = 3,655.60/x
  3. Step 3: Cross multiply
    6,306.66x = 8,703.19 × 3,655.60
  4. Step 4: Simplify right side
    6,306.66x = 31,815,384.84
  5. Step 5: Solve for x
    x = 31,815,384.84/6,306.66
  6. Step 6: Final answer
    x = 5,044.73

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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.