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Finding the Fourth Proportional to 4,953.38, 6,833.16 and 2,963.40

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Solution

The fourth proportional to 4,953.38, 6,833.16 and 2,963.40 is: 4,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.38 : 6,833.16 = 2,963.40 : x
  2. Step 2: Convert to fraction form
    4,953.38/6,833.16 = 2,963.40/x
  3. Step 3: Cross multiply
    4,953.38x = 6,833.16 × 2,963.40
  4. Step 4: Simplify right side
    4,953.38x = 20,249,386.34
  5. Step 5: Solve for x
    x = 20,249,386.34/4,953.38
  6. Step 6: Final answer
    x = 4,087.99

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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.