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Finding the Fourth Proportional to 8,953.86, 13,430.88 and 2,380.98

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Solution

The fourth proportional to 8,953.86, 13,430.88 and 2,380.98 is: 3,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.86 : 13,430.88 = 2,380.98 : x
  2. Step 2: Convert to fraction form
    8,953.86/13,430.88 = 2,380.98/x
  3. Step 3: Cross multiply
    8,953.86x = 13,430.88 × 2,380.98
  4. Step 4: Simplify right side
    8,953.86x = 31,978,656.66
  5. Step 5: Solve for x
    x = 31,978,656.66/8,953.86
  6. Step 6: Final answer
    x = 3,571.49

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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.