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Finding the Fourth Proportional to 3,014.46, 4,129.88 and 2,897.82

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Solution

The fourth proportional to 3,014.46, 4,129.88 and 2,897.82 is: 3,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.46 : 4,129.88 = 2,897.82 : x
  2. Step 2: Convert to fraction form
    3,014.46/4,129.88 = 2,897.82/x
  3. Step 3: Cross multiply
    3,014.46x = 4,129.88 × 2,897.82
  4. Step 4: Simplify right side
    3,014.46x = 11,967,634.37
  5. Step 5: Solve for x
    x = 11,967,634.37/3,014.46
  6. Step 6: Final answer
    x = 3,970.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.