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Finding the Fourth Proportional to 4,894.59, 6,754.47 and 2,656.47

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Solution

The fourth proportional to 4,894.59, 6,754.47 and 2,656.47 is: 3,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.59 : 6,754.47 = 2,656.47 : x
  2. Step 2: Convert to fraction form
    4,894.59/6,754.47 = 2,656.47/x
  3. Step 3: Cross multiply
    4,894.59x = 6,754.47 × 2,656.47
  4. Step 4: Simplify right side
    4,894.59x = 17,943,033.64
  5. Step 5: Solve for x
    x = 17,943,033.64/4,894.59
  6. Step 6: Final answer
    x = 3,665.89

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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.