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Finding the Fourth Proportional to 3,476.51, 4,796.98 and 2,296.95

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Solution

The fourth proportional to 3,476.51, 4,796.98 and 2,296.95 is: 3,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.51 : 4,796.98 = 2,296.95 : x
  2. Step 2: Convert to fraction form
    3,476.51/4,796.98 = 2,296.95/x
  3. Step 3: Cross multiply
    3,476.51x = 4,796.98 × 2,296.95
  4. Step 4: Simplify right side
    3,476.51x = 11,018,423.21
  5. Step 5: Solve for x
    x = 11,018,423.21/3,476.51
  6. Step 6: Final answer
    x = 3,169.39

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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.