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Finding the Fourth Proportional to 4,557.17, 6,835.76 and 1,959.50

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Solution

The fourth proportional to 4,557.17, 6,835.76 and 1,959.50 is: 2,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.17 : 6,835.76 = 1,959.50 : x
  2. Step 2: Convert to fraction form
    4,557.17/6,835.76 = 1,959.50/x
  3. Step 3: Cross multiply
    4,557.17x = 6,835.76 × 1,959.50
  4. Step 4: Simplify right side
    4,557.17x = 13,394,671.72
  5. Step 5: Solve for x
    x = 13,394,671.72/4,557.17
  6. Step 6: Final answer
    x = 2,939.25

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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.