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Finding the Fourth Proportional to 4,959.66, 7,435.08 and 1,883.82

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Solution

The fourth proportional to 4,959.66, 7,435.08 and 1,883.82 is: 2,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.66 : 7,435.08 = 1,883.82 : x
  2. Step 2: Convert to fraction form
    4,959.66/7,435.08 = 1,883.82/x
  3. Step 3: Cross multiply
    4,959.66x = 7,435.08 × 1,883.82
  4. Step 4: Simplify right side
    4,959.66x = 14,006,352.41
  5. Step 5: Solve for x
    x = 14,006,352.41/4,959.66
  6. Step 6: Final answer
    x = 2,824.05

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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.