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Finding the Fourth Proportional to 3,674.69, 5,071.94 and 2,417.46

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Solution

The fourth proportional to 3,674.69, 5,071.94 and 2,417.46 is: 3,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.69 : 5,071.94 = 2,417.46 : x
  2. Step 2: Convert to fraction form
    3,674.69/5,071.94 = 2,417.46/x
  3. Step 3: Cross multiply
    3,674.69x = 5,071.94 × 2,417.46
  4. Step 4: Simplify right side
    3,674.69x = 12,261,203.96
  5. Step 5: Solve for x
    x = 12,261,203.96/3,674.69
  6. Step 6: Final answer
    x = 3,336.66

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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.