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Finding the Fourth Proportional to 4,894.88, 6,754.75 and 2,656.70

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Solution

The fourth proportional to 4,894.88, 6,754.75 and 2,656.70 is: 3,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.88 : 6,754.75 = 2,656.70 : x
  2. Step 2: Convert to fraction form
    4,894.88/6,754.75 = 2,656.70/x
  3. Step 3: Cross multiply
    4,894.88x = 6,754.75 × 2,656.70
  4. Step 4: Simplify right side
    4,894.88x = 17,945,360.11
  5. Step 5: Solve for x
    x = 17,945,360.11/4,894.88
  6. Step 6: Final answer
    x = 3,666.15

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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.