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Finding the Fourth Proportional to 3,415.60, 4,715.30 and 2,302.39

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Solution

The fourth proportional to 3,415.60, 4,715.30 and 2,302.39 is: 3,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.60 : 4,715.30 = 2,302.39 : x
  2. Step 2: Convert to fraction form
    3,415.60/4,715.30 = 2,302.39/x
  3. Step 3: Cross multiply
    3,415.60x = 4,715.30 × 2,302.39
  4. Step 4: Simplify right side
    3,415.60x = 10,856,453.53
  5. Step 5: Solve for x
    x = 10,856,453.53/3,415.60
  6. Step 6: Final answer
    x = 3,178.49

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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.