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Finding the Fourth Proportional to 4,716.76, 6,509.04 and 2,592.34

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Solution

The fourth proportional to 4,716.76, 6,509.04 and 2,592.34 is: 3,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.76 : 6,509.04 = 2,592.34 : x
  2. Step 2: Convert to fraction form
    4,716.76/6,509.04 = 2,592.34/x
  3. Step 3: Cross multiply
    4,716.76x = 6,509.04 × 2,592.34
  4. Step 4: Simplify right side
    4,716.76x = 16,873,644.75
  5. Step 5: Solve for x
    x = 16,873,644.75/4,716.76
  6. Step 6: Final answer
    x = 3,577.38

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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.