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Finding the Fourth Proportional to 4,766.50, 7,186.31 and 4,444.93

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Solution

The fourth proportional to 4,766.50, 7,186.31 and 4,444.93 is: 6,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.50 : 7,186.31 = 4,444.93 : x
  2. Step 2: Convert to fraction form
    4,766.50/7,186.31 = 4,444.93/x
  3. Step 3: Cross multiply
    4,766.50x = 7,186.31 × 4,444.93
  4. Step 4: Simplify right side
    4,766.50x = 31,942,644.91
  5. Step 5: Solve for x
    x = 31,942,644.91/4,766.50
  6. Step 6: Final answer
    x = 6,701.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.