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Finding the Fourth Proportional to 4,751.88, 6,557.79 and 2,656

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Solution

The fourth proportional to 4,751.88, 6,557.79 and 2,656 is: 3,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.88 : 6,557.79 = 2,656 : x
  2. Step 2: Convert to fraction form
    4,751.88/6,557.79 = 2,656/x
  3. Step 3: Cross multiply
    4,751.88x = 6,557.79 × 2,656
  4. Step 4: Simplify right side
    4,751.88x = 17,417,490.24
  5. Step 5: Solve for x
    x = 17,417,490.24/4,751.88
  6. Step 6: Final answer
    x = 3,665.39

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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.