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Finding the Fourth Proportional to 3,495.39, 4,813.23 and 3,417.78

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Solution

The fourth proportional to 3,495.39, 4,813.23 and 3,417.78 is: 4,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.39 : 4,813.23 = 3,417.78 : x
  2. Step 2: Convert to fraction form
    3,495.39/4,813.23 = 3,417.78/x
  3. Step 3: Cross multiply
    3,495.39x = 4,813.23 × 3,417.78
  4. Step 4: Simplify right side
    3,495.39x = 16,450,561.23
  5. Step 5: Solve for x
    x = 16,450,561.23/3,495.39
  6. Step 6: Final answer
    x = 4,706.36

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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.