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Finding the Fourth Proportional to 5,264.94, 7,897.42 and 1,369.34

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Solution

The fourth proportional to 5,264.94, 7,897.42 and 1,369.34 is: 2,054.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.94 : 7,897.42 = 1,369.34 : x
  2. Step 2: Convert to fraction form
    5,264.94/7,897.42 = 1,369.34/x
  3. Step 3: Cross multiply
    5,264.94x = 7,897.42 × 1,369.34
  4. Step 4: Simplify right side
    5,264.94x = 10,814,253.10
  5. Step 5: Solve for x
    x = 10,814,253.10/5,264.94
  6. Step 6: Final answer
    x = 2,054.01

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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.