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Finding the Fourth Proportional to 3,758.49, 5,636.71 and 1,417

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Solution

The fourth proportional to 3,758.49, 5,636.71 and 1,417 is: 2,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.49 : 5,636.71 = 1,417 : x
  2. Step 2: Convert to fraction form
    3,758.49/5,636.71 = 1,417/x
  3. Step 3: Cross multiply
    3,758.49x = 5,636.71 × 1,417
  4. Step 4: Simplify right side
    3,758.49x = 7,987,218.07
  5. Step 5: Solve for x
    x = 7,987,218.07/3,758.49
  6. Step 6: Final answer
    x = 2,125.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.