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Finding the Fourth Proportional to 6,341, 8,750.61 and 3,546.50

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Solution

The fourth proportional to 6,341, 8,750.61 and 3,546.50 is: 4,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341 : 8,750.61 = 3,546.50 : x
  2. Step 2: Convert to fraction form
    6,341/8,750.61 = 3,546.50/x
  3. Step 3: Cross multiply
    6,341x = 8,750.61 × 3,546.50
  4. Step 4: Simplify right side
    6,341x = 31,034,038.37
  5. Step 5: Solve for x
    x = 31,034,038.37/6,341
  6. Step 6: Final answer
    x = 4,894.19

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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.