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Finding the Fourth Proportional to 3,133, 4,700.29 and 941.74

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Solution

The fourth proportional to 3,133, 4,700.29 and 941.74 is: 1,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133 : 4,700.29 = 941.74 : x
  2. Step 2: Convert to fraction form
    3,133/4,700.29 = 941.74/x
  3. Step 3: Cross multiply
    3,133x = 4,700.29 × 941.74
  4. Step 4: Simplify right side
    3,133x = 4,426,451.10
  5. Step 5: Solve for x
    x = 4,426,451.10/3,133
  6. Step 6: Final answer
    x = 1,412.85

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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.