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Finding the Fourth Proportional to 5,665.53, 8,498.03 and 1,716.61

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Solution

The fourth proportional to 5,665.53, 8,498.03 and 1,716.61 is: 2,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.53 : 8,498.03 = 1,716.61 : x
  2. Step 2: Convert to fraction form
    5,665.53/8,498.03 = 1,716.61/x
  3. Step 3: Cross multiply
    5,665.53x = 8,498.03 × 1,716.61
  4. Step 4: Simplify right side
    5,665.53x = 14,587,803.28
  5. Step 5: Solve for x
    x = 14,587,803.28/5,665.53
  6. Step 6: Final answer
    x = 2,574.83

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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.