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Finding the Fourth Proportional to 4,760.68, 7,173.52 and 3,913.96

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Solution

The fourth proportional to 4,760.68, 7,173.52 and 3,913.96 is: 5,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.68 : 7,173.52 = 3,913.96 : x
  2. Step 2: Convert to fraction form
    4,760.68/7,173.52 = 3,913.96/x
  3. Step 3: Cross multiply
    4,760.68x = 7,173.52 × 3,913.96
  4. Step 4: Simplify right side
    4,760.68x = 28,076,870.34
  5. Step 5: Solve for x
    x = 28,076,870.34/4,760.68
  6. Step 6: Final answer
    x = 5,897.66

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