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Finding the Fourth Proportional to 2,957.36, 4,412.85 and 2,647.07

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Solution

The fourth proportional to 2,957.36, 4,412.85 and 2,647.07 is: 3,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.36 : 4,412.85 = 2,647.07 : x
  2. Step 2: Convert to fraction form
    2,957.36/4,412.85 = 2,647.07/x
  3. Step 3: Cross multiply
    2,957.36x = 4,412.85 × 2,647.07
  4. Step 4: Simplify right side
    2,957.36x = 11,681,109.61
  5. Step 5: Solve for x
    x = 11,681,109.61/2,957.36
  6. Step 6: Final answer
    x = 3,949.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.