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Finding the Fourth Proportional to 5,901, 8,144.19 and 3,417

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Solution

The fourth proportional to 5,901, 8,144.19 and 3,417 is: 4,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901 : 8,144.19 = 3,417 : x
  2. Step 2: Convert to fraction form
    5,901/8,144.19 = 3,417/x
  3. Step 3: Cross multiply
    5,901x = 8,144.19 × 3,417
  4. Step 4: Simplify right side
    5,901x = 27,828,697.23
  5. Step 5: Solve for x
    x = 27,828,697.23/5,901
  6. Step 6: Final answer
    x = 4,715.93

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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.