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Finding the Fourth Proportional to 4,655.76, 6,986.02 and 3,096.83

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Solution

The fourth proportional to 4,655.76, 6,986.02 and 3,096.83 is: 4,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.76 : 6,986.02 = 3,096.83 : x
  2. Step 2: Convert to fraction form
    4,655.76/6,986.02 = 3,096.83/x
  3. Step 3: Cross multiply
    4,655.76x = 6,986.02 × 3,096.83
  4. Step 4: Simplify right side
    4,655.76x = 21,634,516.32
  5. Step 5: Solve for x
    x = 21,634,516.32/4,655.76
  6. Step 6: Final answer
    x = 4,646.83

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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.