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Finding the Fourth Proportional to 2,957.76, 4,098.96 and 2,916

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Solution

The fourth proportional to 2,957.76, 4,098.96 and 2,916 is: 4,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.76 : 4,098.96 = 2,916 : x
  2. Step 2: Convert to fraction form
    2,957.76/4,098.96 = 2,916/x
  3. Step 3: Cross multiply
    2,957.76x = 4,098.96 × 2,916
  4. Step 4: Simplify right side
    2,957.76x = 11,952,567.36
  5. Step 5: Solve for x
    x = 11,952,567.36/2,957.76
  6. Step 6: Final answer
    x = 4,041.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.