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Finding the Fourth Proportional to 4,971.38, 7,457.06 and 2,336.94

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Solution

The fourth proportional to 4,971.38, 7,457.06 and 2,336.94 is: 3,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.38 : 7,457.06 = 2,336.94 : x
  2. Step 2: Convert to fraction form
    4,971.38/7,457.06 = 2,336.94/x
  3. Step 3: Cross multiply
    4,971.38x = 7,457.06 × 2,336.94
  4. Step 4: Simplify right side
    4,971.38x = 17,426,690.11
  5. Step 5: Solve for x
    x = 17,426,690.11/4,971.38
  6. Step 6: Final answer
    x = 3,505.41

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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.