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Finding the Fourth Proportional to 4,654.99, 6,983.63 and 2,316.10

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Solution

The fourth proportional to 4,654.99, 6,983.63 and 2,316.10 is: 3,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.99 : 6,983.63 = 2,316.10 : x
  2. Step 2: Convert to fraction form
    4,654.99/6,983.63 = 2,316.10/x
  3. Step 3: Cross multiply
    4,654.99x = 6,983.63 × 2,316.10
  4. Step 4: Simplify right side
    4,654.99x = 16,174,785.44
  5. Step 5: Solve for x
    x = 16,174,785.44/4,654.99
  6. Step 6: Final answer
    x = 3,474.72

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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.