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Finding the Fourth Proportional to 5,232, 7,221.48 and 2,994.58

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Solution

The fourth proportional to 5,232, 7,221.48 and 2,994.58 is: 4,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232 : 7,221.48 = 2,994.58 : x
  2. Step 2: Convert to fraction form
    5,232/7,221.48 = 2,994.58/x
  3. Step 3: Cross multiply
    5,232x = 7,221.48 × 2,994.58
  4. Step 4: Simplify right side
    5,232x = 21,625,263.47
  5. Step 5: Solve for x
    x = 21,625,263.47/5,232
  6. Step 6: Final answer
    x = 4,133.27

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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.