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Finding the Fourth Proportional to 3,674.57, 5,071.71 and 2,259.48

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Solution

The fourth proportional to 3,674.57, 5,071.71 and 2,259.48 is: 3,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.57 : 5,071.71 = 2,259.48 : x
  2. Step 2: Convert to fraction form
    3,674.57/5,071.71 = 2,259.48/x
  3. Step 3: Cross multiply
    3,674.57x = 5,071.71 × 2,259.48
  4. Step 4: Simplify right side
    3,674.57x = 11,459,426.27
  5. Step 5: Solve for x
    x = 11,459,426.27/3,674.57
  6. Step 6: Final answer
    x = 3,118.57

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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.