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Finding the Fourth Proportional to 5,888.86, 8,126.48 and 3,200.00

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Solution

The fourth proportional to 5,888.86, 8,126.48 and 3,200.00 is: 4,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.86 : 8,126.48 = 3,200.00 : x
  2. Step 2: Convert to fraction form
    5,888.86/8,126.48 = 3,200.00/x
  3. Step 3: Cross multiply
    5,888.86x = 8,126.48 × 3,200.00
  4. Step 4: Simplify right side
    5,888.86x = 26,004,703.37
  5. Step 5: Solve for x
    x = 26,004,703.37/5,888.86
  6. Step 6: Final answer
    x = 4,415.92

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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.