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Finding the Fourth Proportional to 4,291.38, 5,920.70 and 2,964.60

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Solution

The fourth proportional to 4,291.38, 5,920.70 and 2,964.60 is: 4,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.38 : 5,920.70 = 2,964.60 : x
  2. Step 2: Convert to fraction form
    4,291.38/5,920.70 = 2,964.60/x
  3. Step 3: Cross multiply
    4,291.38x = 5,920.70 × 2,964.60
  4. Step 4: Simplify right side
    4,291.38x = 17,552,492.40
  5. Step 5: Solve for x
    x = 17,552,492.40/4,291.38
  6. Step 6: Final answer
    x = 4,090.17

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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.