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Finding the Fourth Proportional to 5,872.64, 8,809.60 and 2,175.36

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Solution

The fourth proportional to 5,872.64, 8,809.60 and 2,175.36 is: 3,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.64 : 8,809.60 = 2,175.36 : x
  2. Step 2: Convert to fraction form
    5,872.64/8,809.60 = 2,175.36/x
  3. Step 3: Cross multiply
    5,872.64x = 8,809.60 × 2,175.36
  4. Step 4: Simplify right side
    5,872.64x = 19,164,051.46
  5. Step 5: Solve for x
    x = 19,164,051.46/5,872.64
  6. Step 6: Final answer
    x = 3,263.28

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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.