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Finding the Fourth Proportional to 3,343.41, 5,014.49 and 971.77

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Solution

The fourth proportional to 3,343.41, 5,014.49 and 971.77 is: 1,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.41 : 5,014.49 = 971.77 : x
  2. Step 2: Convert to fraction form
    3,343.41/5,014.49 = 971.77/x
  3. Step 3: Cross multiply
    3,343.41x = 5,014.49 × 971.77
  4. Step 4: Simplify right side
    3,343.41x = 4,872,946.62
  5. Step 5: Solve for x
    x = 4,872,946.62/3,343.41
  6. Step 6: Final answer
    x = 1,457.48

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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.