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Finding the Fourth Proportional to 3,588.66, 4,953.87 and 3,364.47

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Solution

The fourth proportional to 3,588.66, 4,953.87 and 3,364.47 is: 4,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.66 : 4,953.87 = 3,364.47 : x
  2. Step 2: Convert to fraction form
    3,588.66/4,953.87 = 3,364.47/x
  3. Step 3: Cross multiply
    3,588.66x = 4,953.87 × 3,364.47
  4. Step 4: Simplify right side
    3,588.66x = 16,667,122.00
  5. Step 5: Solve for x
    x = 16,667,122.00/3,588.66
  6. Step 6: Final answer
    x = 4,644.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.