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Finding the Fourth Proportional to 3,417, 4,713.66 and 2,296.02

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Solution

The fourth proportional to 3,417, 4,713.66 and 2,296.02 is: 3,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417 : 4,713.66 = 2,296.02 : x
  2. Step 2: Convert to fraction form
    3,417/4,713.66 = 2,296.02/x
  3. Step 3: Cross multiply
    3,417x = 4,713.66 × 2,296.02
  4. Step 4: Simplify right side
    3,417x = 10,822,657.63
  5. Step 5: Solve for x
    x = 10,822,657.63/3,417
  6. Step 6: Final answer
    x = 3,167.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.