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Finding the Fourth Proportional to 4,716.63, 6,509.07 and 2,592.27

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Solution

The fourth proportional to 4,716.63, 6,509.07 and 2,592.27 is: 3,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.63 : 6,509.07 = 2,592.27 : x
  2. Step 2: Convert to fraction form
    4,716.63/6,509.07 = 2,592.27/x
  3. Step 3: Cross multiply
    4,716.63x = 6,509.07 × 2,592.27
  4. Step 4: Simplify right side
    4,716.63x = 16,873,266.89
  5. Step 5: Solve for x
    x = 16,873,266.89/4,716.63
  6. Step 6: Final answer
    x = 3,577.40

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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.