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Finding the Fourth Proportional to 4,597.14, 6,345.06 and 2,805

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Solution

The fourth proportional to 4,597.14, 6,345.06 and 2,805 is: 3,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.14 : 6,345.06 = 2,805 : x
  2. Step 2: Convert to fraction form
    4,597.14/6,345.06 = 2,805/x
  3. Step 3: Cross multiply
    4,597.14x = 6,345.06 × 2,805
  4. Step 4: Simplify right side
    4,597.14x = 17,797,893.30
  5. Step 5: Solve for x
    x = 17,797,893.30/4,597.14
  6. Step 6: Final answer
    x = 3,871.51

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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.