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Finding the Fourth Proportional to 4,009.51, 5,533.77 and 2,894.14

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Solution

The fourth proportional to 4,009.51, 5,533.77 and 2,894.14 is: 3,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.51 : 5,533.77 = 2,894.14 : x
  2. Step 2: Convert to fraction form
    4,009.51/5,533.77 = 2,894.14/x
  3. Step 3: Cross multiply
    4,009.51x = 5,533.77 × 2,894.14
  4. Step 4: Simplify right side
    4,009.51x = 16,015,505.11
  5. Step 5: Solve for x
    x = 16,015,505.11/4,009.51
  6. Step 6: Final answer
    x = 3,994.38

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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.