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Finding the Fourth Proportional to 5,655.68, 8,470.56 and 5,336

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Solution

The fourth proportional to 5,655.68, 8,470.56 and 5,336 is: 7,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.68 : 8,470.56 = 5,336 : x
  2. Step 2: Convert to fraction form
    5,655.68/8,470.56 = 5,336/x
  3. Step 3: Cross multiply
    5,655.68x = 8,470.56 × 5,336
  4. Step 4: Simplify right side
    5,655.68x = 45,198,908.16
  5. Step 5: Solve for x
    x = 45,198,908.16/5,655.68
  6. Step 6: Final answer
    x = 7,991.77

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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.