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Finding the Fourth Proportional to 5,953.84, 8,887.40 and 5,514.64

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Solution

The fourth proportional to 5,953.84, 8,887.40 and 5,514.64 is: 8,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.84 : 8,887.40 = 5,514.64 : x
  2. Step 2: Convert to fraction form
    5,953.84/8,887.40 = 5,514.64/x
  3. Step 3: Cross multiply
    5,953.84x = 8,887.40 × 5,514.64
  4. Step 4: Simplify right side
    5,953.84x = 49,010,811.54
  5. Step 5: Solve for x
    x = 49,010,811.54/5,953.84
  6. Step 6: Final answer
    x = 8,231.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.