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Finding the Fourth Proportional to 5,604.96, 8,399.76 and 2,316

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Solution

The fourth proportional to 5,604.96, 8,399.76 and 2,316 is: 3,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.96 : 8,399.76 = 2,316 : x
  2. Step 2: Convert to fraction form
    5,604.96/8,399.76 = 2,316/x
  3. Step 3: Cross multiply
    5,604.96x = 8,399.76 × 2,316
  4. Step 4: Simplify right side
    5,604.96x = 19,453,844.16
  5. Step 5: Solve for x
    x = 19,453,844.16/5,604.96
  6. Step 6: Final answer
    x = 3,470.83

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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.